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Finding the Fourth Proportional to 787.91, 1,087.17 and 456.35

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Solution

The fourth proportional to 787.91, 1,087.17 and 456.35 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.91 : 1,087.17 = 456.35 : x
  2. Step 2: Convert to fraction form
    787.91/1,087.17 = 456.35/x
  3. Step 3: Cross multiply
    787.91x = 1,087.17 × 456.35
  4. Step 4: Simplify right side
    787.91x = 496,124.59
  5. Step 5: Solve for x
    x = 496,124.59/787.91
  6. Step 6: Final answer
    x = 629.68

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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.