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Finding the Fourth Proportional to 787.57, 1,086.86 and 472.88

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Solution

The fourth proportional to 787.57, 1,086.86 and 472.88 is: 652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.57 : 1,086.86 = 472.88 : x
  2. Step 2: Convert to fraction form
    787.57/1,086.86 = 472.88/x
  3. Step 3: Cross multiply
    787.57x = 1,086.86 × 472.88
  4. Step 4: Simplify right side
    787.57x = 513,954.36
  5. Step 5: Solve for x
    x = 513,954.36/787.57
  6. Step 6: Final answer
    x = 652.58

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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.