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Finding the Fourth Proportional to 724.38, 999.69 and 429.66

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Solution

The fourth proportional to 724.38, 999.69 and 429.66 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 999.69 = 429.66 : x
  2. Step 2: Convert to fraction form
    724.38/999.69 = 429.66/x
  3. Step 3: Cross multiply
    724.38x = 999.69 × 429.66
  4. Step 4: Simplify right side
    724.38x = 429,526.81
  5. Step 5: Solve for x
    x = 429,526.81/724.38
  6. Step 6: Final answer
    x = 592.96

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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.