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Finding the Fourth Proportional to 761.24, 1,141.31 and 615.17

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Solution

The fourth proportional to 761.24, 1,141.31 and 615.17 is: 922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.24 : 1,141.31 = 615.17 : x
  2. Step 2: Convert to fraction form
    761.24/1,141.31 = 615.17/x
  3. Step 3: Cross multiply
    761.24x = 1,141.31 × 615.17
  4. Step 4: Simplify right side
    761.24x = 702,090.89
  5. Step 5: Solve for x
    x = 702,090.89/761.24
  6. Step 6: Final answer
    x = 922.31

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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.