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Finding the Fourth Proportional to 787.92, 1,086.71 and 508.20

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Solution

The fourth proportional to 787.92, 1,086.71 and 508.20 is: 700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,086.71 = 508.20 : x
  2. Step 2: Convert to fraction form
    787.92/1,086.71 = 508.20/x
  3. Step 3: Cross multiply
    787.92x = 1,086.71 × 508.20
  4. Step 4: Simplify right side
    787.92x = 552,266.02
  5. Step 5: Solve for x
    x = 552,266.02/787.92
  6. Step 6: Final answer
    x = 700.92

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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.