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Finding the Fourth Proportional to 765.30, 1,146.51 and 439.68

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Solution

The fourth proportional to 765.30, 1,146.51 and 439.68 is: 658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.30 : 1,146.51 = 439.68 : x
  2. Step 2: Convert to fraction form
    765.30/1,146.51 = 439.68/x
  3. Step 3: Cross multiply
    765.30x = 1,146.51 × 439.68
  4. Step 4: Simplify right side
    765.30x = 504,097.52
  5. Step 5: Solve for x
    x = 504,097.52/765.30
  6. Step 6: Final answer
    x = 658.69

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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.