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Finding the Fourth Proportional to 990.55, 1,489.47 and 748.09

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Solution

The fourth proportional to 990.55, 1,489.47 and 748.09 is: 1,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.55 : 1,489.47 = 748.09 : x
  2. Step 2: Convert to fraction form
    990.55/1,489.47 = 748.09/x
  3. Step 3: Cross multiply
    990.55x = 1,489.47 × 748.09
  4. Step 4: Simplify right side
    990.55x = 1,114,257.61
  5. Step 5: Solve for x
    x = 1,114,257.61/990.55
  6. Step 6: Final answer
    x = 1,124.89

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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.