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Finding the Fourth Proportional to 758.04, 1,134.90 and 642.48

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Solution

The fourth proportional to 758.04, 1,134.90 and 642.48 is: 961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.04 : 1,134.90 = 642.48 : x
  2. Step 2: Convert to fraction form
    758.04/1,134.90 = 642.48/x
  3. Step 3: Cross multiply
    758.04x = 1,134.90 × 642.48
  4. Step 4: Simplify right side
    758.04x = 729,150.55
  5. Step 5: Solve for x
    x = 729,150.55/758.04
  6. Step 6: Final answer
    x = 961.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.