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Finding the Fourth Proportional to 787.53, 1,087.31 and 538.76

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Solution

The fourth proportional to 787.53, 1,087.31 and 538.76 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.53 : 1,087.31 = 538.76 : x
  2. Step 2: Convert to fraction form
    787.53/1,087.31 = 538.76/x
  3. Step 3: Cross multiply
    787.53x = 1,087.31 × 538.76
  4. Step 4: Simplify right side
    787.53x = 585,803.20
  5. Step 5: Solve for x
    x = 585,803.20/787.53
  6. Step 6: Final answer
    x = 743.85

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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.