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Finding the Fourth Proportional to 829.48, 1,144.70 and 493.23

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Solution

The fourth proportional to 829.48, 1,144.70 and 493.23 is: 680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.48 : 1,144.70 = 493.23 : x
  2. Step 2: Convert to fraction form
    829.48/1,144.70 = 493.23/x
  3. Step 3: Cross multiply
    829.48x = 1,144.70 × 493.23
  4. Step 4: Simplify right side
    829.48x = 564,600.38
  5. Step 5: Solve for x
    x = 564,600.38/829.48
  6. Step 6: Final answer
    x = 680.67

Related Problems

Find fourth proportional to 414.74, 572.35 and 246.62
Half scale
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Double scale
Find fourth proportional to 830.48, 1,146.08 and 494.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.