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Finding the Fourth Proportional to 956.56, 1,320 and 542.56

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Solution

The fourth proportional to 956.56, 1,320 and 542.56 is: 748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.56 : 1,320 = 542.56 : x
  2. Step 2: Convert to fraction form
    956.56/1,320 = 542.56/x
  3. Step 3: Cross multiply
    956.56x = 1,320 × 542.56
  4. Step 4: Simplify right side
    956.56x = 716,179.20
  5. Step 5: Solve for x
    x = 716,179.20/956.56
  6. Step 6: Final answer
    x = 748.70

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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.