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Finding the Fourth Proportional to 989.04, 1,481.76 and 500.88

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Solution

The fourth proportional to 989.04, 1,481.76 and 500.88 is: 750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.04 : 1,481.76 = 500.88 : x
  2. Step 2: Convert to fraction form
    989.04/1,481.76 = 500.88/x
  3. Step 3: Cross multiply
    989.04x = 1,481.76 × 500.88
  4. Step 4: Simplify right side
    989.04x = 742,183.95
  5. Step 5: Solve for x
    x = 742,183.95/989.04
  6. Step 6: Final answer
    x = 750.41

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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.