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Finding the Fourth Proportional to 981.31, 1,470.54 and 615.05

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Solution

The fourth proportional to 981.31, 1,470.54 and 615.05 is: 921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.31 : 1,470.54 = 615.05 : x
  2. Step 2: Convert to fraction form
    981.31/1,470.54 = 615.05/x
  3. Step 3: Cross multiply
    981.31x = 1,470.54 × 615.05
  4. Step 4: Simplify right side
    981.31x = 904,455.63
  5. Step 5: Solve for x
    x = 904,455.63/981.31
  6. Step 6: Final answer
    x = 921.68

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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.