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Finding the Fourth Proportional to 684.80, 1,027.72 and 502.66

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Solution

The fourth proportional to 684.80, 1,027.72 and 502.66 is: 754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 1,027.72 = 502.66 : x
  2. Step 2: Convert to fraction form
    684.80/1,027.72 = 502.66/x
  3. Step 3: Cross multiply
    684.80x = 1,027.72 × 502.66
  4. Step 4: Simplify right side
    684.80x = 516,593.74
  5. Step 5: Solve for x
    x = 516,593.74/684.80
  6. Step 6: Final answer
    x = 754.37

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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.