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Finding the Fourth Proportional to 753.39, 1,039.14 and 501.43

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Solution

The fourth proportional to 753.39, 1,039.14 and 501.43 is: 691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.39 : 1,039.14 = 501.43 : x
  2. Step 2: Convert to fraction form
    753.39/1,039.14 = 501.43/x
  3. Step 3: Cross multiply
    753.39x = 1,039.14 × 501.43
  4. Step 4: Simplify right side
    753.39x = 521,055.97
  5. Step 5: Solve for x
    x = 521,055.97/753.39
  6. Step 6: Final answer
    x = 691.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.