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Finding the Fourth Proportional to 787.76, 1,181.64 and 766.16

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Solution

The fourth proportional to 787.76, 1,181.64 and 766.16 is: 1,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.76 : 1,181.64 = 766.16 : x
  2. Step 2: Convert to fraction form
    787.76/1,181.64 = 766.16/x
  3. Step 3: Cross multiply
    787.76x = 1,181.64 × 766.16
  4. Step 4: Simplify right side
    787.76x = 905,325.30
  5. Step 5: Solve for x
    x = 905,325.30/787.76
  6. Step 6: Final answer
    x = 1,149.24

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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.