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Finding the Fourth Proportional to 787.34, 1,174.04 and 780.29

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Solution

The fourth proportional to 787.34, 1,174.04 and 780.29 is: 1,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.34 : 1,174.04 = 780.29 : x
  2. Step 2: Convert to fraction form
    787.34/1,174.04 = 780.29/x
  3. Step 3: Cross multiply
    787.34x = 1,174.04 × 780.29
  4. Step 4: Simplify right side
    787.34x = 916,091.67
  5. Step 5: Solve for x
    x = 916,091.67/787.34
  6. Step 6: Final answer
    x = 1,163.53

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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.