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Finding the Fourth Proportional to 765.78, 1,150.49 and 492.41

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Solution

The fourth proportional to 765.78, 1,150.49 and 492.41 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.78 : 1,150.49 = 492.41 : x
  2. Step 2: Convert to fraction form
    765.78/1,150.49 = 492.41/x
  3. Step 3: Cross multiply
    765.78x = 1,150.49 × 492.41
  4. Step 4: Simplify right side
    765.78x = 566,504.57
  5. Step 5: Solve for x
    x = 566,504.57/765.78
  6. Step 6: Final answer
    x = 739.77

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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.