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Finding the Fourth Proportional to 787.86, 1,178.69 and 634.10

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Solution

The fourth proportional to 787.86, 1,178.69 and 634.10 is: 948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,178.69 = 634.10 : x
  2. Step 2: Convert to fraction form
    787.86/1,178.69 = 634.10/x
  3. Step 3: Cross multiply
    787.86x = 1,178.69 × 634.10
  4. Step 4: Simplify right side
    787.86x = 747,398.27
  5. Step 5: Solve for x
    x = 747,398.27/787.86
  6. Step 6: Final answer
    x = 948.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.