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Finding the Fourth Proportional to 787.62, 1,174.55 and 699.11

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Solution

The fourth proportional to 787.62, 1,174.55 and 699.11 is: 1,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.62 : 1,174.55 = 699.11 : x
  2. Step 2: Convert to fraction form
    787.62/1,174.55 = 699.11/x
  3. Step 3: Cross multiply
    787.62x = 1,174.55 × 699.11
  4. Step 4: Simplify right side
    787.62x = 821,139.65
  5. Step 5: Solve for x
    x = 821,139.65/787.62
  6. Step 6: Final answer
    x = 1,042.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.