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Finding the Fourth Proportional to 909.92, 1,252.68 and 787.16

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Solution

The fourth proportional to 909.92, 1,252.68 and 787.16 is: 1,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.92 : 1,252.68 = 787.16 : x
  2. Step 2: Convert to fraction form
    909.92/1,252.68 = 787.16/x
  3. Step 3: Cross multiply
    909.92x = 1,252.68 × 787.16
  4. Step 4: Simplify right side
    909.92x = 986,059.59
  5. Step 5: Solve for x
    x = 986,059.59/909.92
  6. Step 6: Final answer
    x = 1,083.68

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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.