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Finding the Fourth Proportional to 765.98, 1,147.60 and 491.39

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Solution

The fourth proportional to 765.98, 1,147.60 and 491.39 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,147.60 = 491.39 : x
  2. Step 2: Convert to fraction form
    765.98/1,147.60 = 491.39/x
  3. Step 3: Cross multiply
    765.98x = 1,147.60 × 491.39
  4. Step 4: Simplify right side
    765.98x = 563,919.16
  5. Step 5: Solve for x
    x = 563,919.16/765.98
  6. Step 6: Final answer
    x = 736.21

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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.