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Finding the Fourth Proportional to 489.03, 732.72 and 296.25

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Solution

The fourth proportional to 489.03, 732.72 and 296.25 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.03 : 732.72 = 296.25 : x
  2. Step 2: Convert to fraction form
    489.03/732.72 = 296.25/x
  3. Step 3: Cross multiply
    489.03x = 732.72 × 296.25
  4. Step 4: Simplify right side
    489.03x = 217,068.30
  5. Step 5: Solve for x
    x = 217,068.30/489.03
  6. Step 6: Final answer
    x = 443.88

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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.