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Finding the Fourth Proportional to 765.31, 1,147.27 and 278.02

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Solution

The fourth proportional to 765.31, 1,147.27 and 278.02 is: 416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.31 : 1,147.27 = 278.02 : x
  2. Step 2: Convert to fraction form
    765.31/1,147.27 = 278.02/x
  3. Step 3: Cross multiply
    765.31x = 1,147.27 × 278.02
  4. Step 4: Simplify right side
    765.31x = 318,958.81
  5. Step 5: Solve for x
    x = 318,958.81/765.31
  6. Step 6: Final answer
    x = 416.77

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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.