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Finding the Fourth Proportional to 748.61, 1,120.90 and 487.83

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Solution

The fourth proportional to 748.61, 1,120.90 and 487.83 is: 730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.61 : 1,120.90 = 487.83 : x
  2. Step 2: Convert to fraction form
    748.61/1,120.90 = 487.83/x
  3. Step 3: Cross multiply
    748.61x = 1,120.90 × 487.83
  4. Step 4: Simplify right side
    748.61x = 546,808.65
  5. Step 5: Solve for x
    x = 546,808.65/748.61
  6. Step 6: Final answer
    x = 730.43

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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.