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Finding the Fourth Proportional to 787.72, 1,086.96 and 456.16

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Solution

The fourth proportional to 787.72, 1,086.96 and 456.16 is: 629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.72 : 1,086.96 = 456.16 : x
  2. Step 2: Convert to fraction form
    787.72/1,086.96 = 456.16/x
  3. Step 3: Cross multiply
    787.72x = 1,086.96 × 456.16
  4. Step 4: Simplify right side
    787.72x = 495,827.67
  5. Step 5: Solve for x
    x = 495,827.67/787.72
  6. Step 6: Final answer
    x = 629.45

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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.