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Finding the Fourth Proportional to 765.07, 1,147.71 and 332.21

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Solution

The fourth proportional to 765.07, 1,147.71 and 332.21 is: 498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.07 : 1,147.71 = 332.21 : x
  2. Step 2: Convert to fraction form
    765.07/1,147.71 = 332.21/x
  3. Step 3: Cross multiply
    765.07x = 1,147.71 × 332.21
  4. Step 4: Simplify right side
    765.07x = 381,280.74
  5. Step 5: Solve for x
    x = 381,280.74/765.07
  6. Step 6: Final answer
    x = 498.36

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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.