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Finding the Fourth Proportional to 787.52, 1,086.72 and 488.80

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Solution

The fourth proportional to 787.52, 1,086.72 and 488.80 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.52 : 1,086.72 = 488.80 : x
  2. Step 2: Convert to fraction form
    787.52/1,086.72 = 488.80/x
  3. Step 3: Cross multiply
    787.52x = 1,086.72 × 488.80
  4. Step 4: Simplify right side
    787.52x = 531,188.26
  5. Step 5: Solve for x
    x = 531,188.26/787.52
  6. Step 6: Final answer
    x = 674.51

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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.