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Finding the Fourth Proportional to 981.71, 1,470.54 and 787.04

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Solution

The fourth proportional to 981.71, 1,470.54 and 787.04 is: 1,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.71 : 1,470.54 = 787.04 : x
  2. Step 2: Convert to fraction form
    981.71/1,470.54 = 787.04/x
  3. Step 3: Cross multiply
    981.71x = 1,470.54 × 787.04
  4. Step 4: Simplify right side
    981.71x = 1,157,373.80
  5. Step 5: Solve for x
    x = 1,157,373.80/981.71
  6. Step 6: Final answer
    x = 1,178.94

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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.