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Finding the Fourth Proportional to 787.06, 1,181.17 and 634.81

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Solution

The fourth proportional to 787.06, 1,181.17 and 634.81 is: 952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.06 : 1,181.17 = 634.81 : x
  2. Step 2: Convert to fraction form
    787.06/1,181.17 = 634.81/x
  3. Step 3: Cross multiply
    787.06x = 1,181.17 × 634.81
  4. Step 4: Simplify right side
    787.06x = 749,812.62
  5. Step 5: Solve for x
    x = 749,812.62/787.06
  6. Step 6: Final answer
    x = 952.68

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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.