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Finding the Fourth Proportional to 765.84, 1,147.31 and 661.96

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Solution

The fourth proportional to 765.84, 1,147.31 and 661.96 is: 991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.84 : 1,147.31 = 661.96 : x
  2. Step 2: Convert to fraction form
    765.84/1,147.31 = 661.96/x
  3. Step 3: Cross multiply
    765.84x = 1,147.31 × 661.96
  4. Step 4: Simplify right side
    765.84x = 759,467.59
  5. Step 5: Solve for x
    x = 759,467.59/765.84
  6. Step 6: Final answer
    x = 991.68

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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.