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Finding the Fourth Proportional to 502.76, 752.86 and 429.96

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Solution

The fourth proportional to 502.76, 752.86 and 429.96 is: 643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.76 : 752.86 = 429.96 : x
  2. Step 2: Convert to fraction form
    502.76/752.86 = 429.96/x
  3. Step 3: Cross multiply
    502.76x = 752.86 × 429.96
  4. Step 4: Simplify right side
    502.76x = 323,699.69
  5. Step 5: Solve for x
    x = 323,699.69/502.76
  6. Step 6: Final answer
    x = 643.85

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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.