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Finding the Fourth Proportional to 787.43, 1,086.60 and 455.83

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Solution

The fourth proportional to 787.43, 1,086.60 and 455.83 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.43 : 1,086.60 = 455.83 : x
  2. Step 2: Convert to fraction form
    787.43/1,086.60 = 455.83/x
  3. Step 3: Cross multiply
    787.43x = 1,086.60 × 455.83
  4. Step 4: Simplify right side
    787.43x = 495,304.88
  5. Step 5: Solve for x
    x = 495,304.88/787.43
  6. Step 6: Final answer
    x = 629.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.