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Finding the Fourth Proportional to 754.30, 1,125.83 and 735.85

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Solution

The fourth proportional to 754.30, 1,125.83 and 735.85 is: 1,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.30 : 1,125.83 = 735.85 : x
  2. Step 2: Convert to fraction form
    754.30/1,125.83 = 735.85/x
  3. Step 3: Cross multiply
    754.30x = 1,125.83 × 735.85
  4. Step 4: Simplify right side
    754.30x = 828,445.25
  5. Step 5: Solve for x
    x = 828,445.25/754.30
  6. Step 6: Final answer
    x = 1,098.29

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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.