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Finding the Fourth Proportional to 787.56, 1,089.60 and 773.76

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Solution

The fourth proportional to 787.56, 1,089.60 and 773.76 is: 1,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,089.60 = 773.76 : x
  2. Step 2: Convert to fraction form
    787.56/1,089.60 = 773.76/x
  3. Step 3: Cross multiply
    787.56x = 1,089.60 × 773.76
  4. Step 4: Simplify right side
    787.56x = 843,088.90
  5. Step 5: Solve for x
    x = 843,088.90/787.56
  6. Step 6: Final answer
    x = 1,070.51

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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.