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Finding the Fourth Proportional to 821.70, 1,232.25 and 273.73

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Solution

The fourth proportional to 821.70, 1,232.25 and 273.73 is: 410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.70 : 1,232.25 = 273.73 : x
  2. Step 2: Convert to fraction form
    821.70/1,232.25 = 273.73/x
  3. Step 3: Cross multiply
    821.70x = 1,232.25 × 273.73
  4. Step 4: Simplify right side
    821.70x = 337,303.79
  5. Step 5: Solve for x
    x = 337,303.79/821.70
  6. Step 6: Final answer
    x = 410.50

Related Problems

Find fourth proportional to 410.85, 616.13 and 136.87
Half scale
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Double scale
Find fourth proportional to 822.70, 1,233.75 and 274.73
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.