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Finding the Fourth Proportional to 787.89, 1,087.87 and 508.29

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Solution

The fourth proportional to 787.89, 1,087.87 and 508.29 is: 701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.89 : 1,087.87 = 508.29 : x
  2. Step 2: Convert to fraction form
    787.89/1,087.87 = 508.29/x
  3. Step 3: Cross multiply
    787.89x = 1,087.87 × 508.29
  4. Step 4: Simplify right side
    787.89x = 552,949.86
  5. Step 5: Solve for x
    x = 552,949.86/787.89
  6. Step 6: Final answer
    x = 701.81

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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.