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Finding the Fourth Proportional to 502.26, 752.45 and 285.99

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Solution

The fourth proportional to 502.26, 752.45 and 285.99 is: 428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 752.45 = 285.99 : x
  2. Step 2: Convert to fraction form
    502.26/752.45 = 285.99/x
  3. Step 3: Cross multiply
    502.26x = 752.45 × 285.99
  4. Step 4: Simplify right side
    502.26x = 215,191.75
  5. Step 5: Solve for x
    x = 215,191.75/502.26
  6. Step 6: Final answer
    x = 428.45

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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.