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Finding the Fourth Proportional to 935.62, 1,291.23 and 542.65

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Solution

The fourth proportional to 935.62, 1,291.23 and 542.65 is: 748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.62 : 1,291.23 = 542.65 : x
  2. Step 2: Convert to fraction form
    935.62/1,291.23 = 542.65/x
  3. Step 3: Cross multiply
    935.62x = 1,291.23 × 542.65
  4. Step 4: Simplify right side
    935.62x = 700,685.96
  5. Step 5: Solve for x
    x = 700,685.96/935.62
  6. Step 6: Final answer
    x = 748.90

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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.