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Finding the Fourth Proportional to 574.70, 865.43 and 502.43

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Solution

The fourth proportional to 574.70, 865.43 and 502.43 is: 756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.70 : 865.43 = 502.43 : x
  2. Step 2: Convert to fraction form
    574.70/865.43 = 502.43/x
  3. Step 3: Cross multiply
    574.70x = 865.43 × 502.43
  4. Step 4: Simplify right side
    574.70x = 434,817.99
  5. Step 5: Solve for x
    x = 434,817.99/574.70
  6. Step 6: Final answer
    x = 756.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.