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Finding the Fourth Proportional to 787.68, 1,087.14 and 748.52

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Solution

The fourth proportional to 787.68, 1,087.14 and 748.52 is: 1,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.68 : 1,087.14 = 748.52 : x
  2. Step 2: Convert to fraction form
    787.68/1,087.14 = 748.52/x
  3. Step 3: Cross multiply
    787.68x = 1,087.14 × 748.52
  4. Step 4: Simplify right side
    787.68x = 813,746.03
  5. Step 5: Solve for x
    x = 813,746.03/787.68
  6. Step 6: Final answer
    x = 1,033.09

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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.