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Finding the Fourth Proportional to 685.87, 1,026.35 and 502.81

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Solution

The fourth proportional to 685.87, 1,026.35 and 502.81 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.87 : 1,026.35 = 502.81 : x
  2. Step 2: Convert to fraction form
    685.87/1,026.35 = 502.81/x
  3. Step 3: Cross multiply
    685.87x = 1,026.35 × 502.81
  4. Step 4: Simplify right side
    685.87x = 516,053.91
  5. Step 5: Solve for x
    x = 516,053.91/685.87
  6. Step 6: Final answer
    x = 752.41

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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.