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Finding the Fourth Proportional to 525.39, 724.68 and 414.69

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Solution

The fourth proportional to 525.39, 724.68 and 414.69 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.39 : 724.68 = 414.69 : x
  2. Step 2: Convert to fraction form
    525.39/724.68 = 414.69/x
  3. Step 3: Cross multiply
    525.39x = 724.68 × 414.69
  4. Step 4: Simplify right side
    525.39x = 300,517.55
  5. Step 5: Solve for x
    x = 300,517.55/525.39
  6. Step 6: Final answer
    x = 571.99

Related Problems

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Double scale
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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.