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Finding the Fourth Proportional to 787.93, 1,087.12 and 508.17

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Solution

The fourth proportional to 787.93, 1,087.12 and 508.17 is: 701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.93 : 1,087.12 = 508.17 : x
  2. Step 2: Convert to fraction form
    787.93/1,087.12 = 508.17/x
  3. Step 3: Cross multiply
    787.93x = 1,087.12 × 508.17
  4. Step 4: Simplify right side
    787.93x = 552,446.48
  5. Step 5: Solve for x
    x = 552,446.48/787.93
  6. Step 6: Final answer
    x = 701.14

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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.