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Finding the Fourth Proportional to 787.68, 1,087.38 and 526.14

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Solution

The fourth proportional to 787.68, 1,087.38 and 526.14 is: 726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.68 : 1,087.38 = 526.14 : x
  2. Step 2: Convert to fraction form
    787.68/1,087.38 = 526.14/x
  3. Step 3: Cross multiply
    787.68x = 1,087.38 × 526.14
  4. Step 4: Simplify right side
    787.68x = 572,114.11
  5. Step 5: Solve for x
    x = 572,114.11/787.68
  6. Step 6: Final answer
    x = 726.33

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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.