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Finding the Fourth Proportional to 787.56, 1,086.74 and 456.09

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Solution

The fourth proportional to 787.56, 1,086.74 and 456.09 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,086.74 = 456.09 : x
  2. Step 2: Convert to fraction form
    787.56/1,086.74 = 456.09/x
  3. Step 3: Cross multiply
    787.56x = 1,086.74 × 456.09
  4. Step 4: Simplify right side
    787.56x = 495,648.97
  5. Step 5: Solve for x
    x = 495,648.97/787.56
  6. Step 6: Final answer
    x = 629.35

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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.