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Finding the Fourth Proportional to 962.60, 1,445.31 and 787.43

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Solution

The fourth proportional to 962.60, 1,445.31 and 787.43 is: 1,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.60 : 1,445.31 = 787.43 : x
  2. Step 2: Convert to fraction form
    962.60/1,445.31 = 787.43/x
  3. Step 3: Cross multiply
    962.60x = 1,445.31 × 787.43
  4. Step 4: Simplify right side
    962.60x = 1,138,073.23
  5. Step 5: Solve for x
    x = 1,138,073.23/962.60
  6. Step 6: Final answer
    x = 1,182.30

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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.