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Finding the Fourth Proportional to 1,149.35, 1,724.03 and 283.67

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Solution

The fourth proportional to 1,149.35, 1,724.03 and 283.67 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.35 : 1,724.03 = 283.67 : x
  2. Step 2: Convert to fraction form
    1,149.35/1,724.03 = 283.67/x
  3. Step 3: Cross multiply
    1,149.35x = 1,724.03 × 283.67
  4. Step 4: Simplify right side
    1,149.35x = 489,045.55
  5. Step 5: Solve for x
    x = 489,045.55/1,149.35
  6. Step 6: Final answer
    x = 425.50

Related Problems

Find fourth proportional to 574.67, 862.01 and 141.83
Half scale
Find fourth proportional to 2,298.69, 3,448.05 and 567.33
Double scale
Find fourth proportional to 1,150.35, 1,725.53 and 284.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.