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Finding the Fourth Proportional to 962.06, 1,327.57 and 542.42

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Solution

The fourth proportional to 962.06, 1,327.57 and 542.42 is: 748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.06 : 1,327.57 = 542.42 : x
  2. Step 2: Convert to fraction form
    962.06/1,327.57 = 542.42/x
  3. Step 3: Cross multiply
    962.06x = 1,327.57 × 542.42
  4. Step 4: Simplify right side
    962.06x = 720,100.52
  5. Step 5: Solve for x
    x = 720,100.52/962.06
  6. Step 6: Final answer
    x = 748.50

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1.5x scale

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.