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Finding the Fourth Proportional to 956.43, 1,319.54 and 542.43

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Solution

The fourth proportional to 956.43, 1,319.54 and 542.43 is: 748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.43 : 1,319.54 = 542.43 : x
  2. Step 2: Convert to fraction form
    956.43/1,319.54 = 542.43/x
  3. Step 3: Cross multiply
    956.43x = 1,319.54 × 542.43
  4. Step 4: Simplify right side
    956.43x = 715,755.37
  5. Step 5: Solve for x
    x = 715,755.37/956.43
  6. Step 6: Final answer
    x = 748.36

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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.