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Finding the Fourth Proportional to 758.20, 1,136.76 and 432.04

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Solution

The fourth proportional to 758.20, 1,136.76 and 432.04 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.20 : 1,136.76 = 432.04 : x
  2. Step 2: Convert to fraction form
    758.20/1,136.76 = 432.04/x
  3. Step 3: Cross multiply
    758.20x = 1,136.76 × 432.04
  4. Step 4: Simplify right side
    758.20x = 491,125.79
  5. Step 5: Solve for x
    x = 491,125.79/758.20
  6. Step 6: Final answer
    x = 647.75

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