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Finding the Fourth Proportional to 489.47, 732.35 and 301.18

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Solution

The fourth proportional to 489.47, 732.35 and 301.18 is: 450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.47 : 732.35 = 301.18 : x
  2. Step 2: Convert to fraction form
    489.47/732.35 = 301.18/x
  3. Step 3: Cross multiply
    489.47x = 732.35 × 301.18
  4. Step 4: Simplify right side
    489.47x = 220,566.56
  5. Step 5: Solve for x
    x = 220,566.56/489.47
  6. Step 6: Final answer
    x = 450.63

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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.