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Finding the Fourth Proportional to 489.13, 733.87 and 301.72

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Solution

The fourth proportional to 489.13, 733.87 and 301.72 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.13 : 733.87 = 301.72 : x
  2. Step 2: Convert to fraction form
    489.13/733.87 = 301.72/x
  3. Step 3: Cross multiply
    489.13x = 733.87 × 301.72
  4. Step 4: Simplify right side
    489.13x = 221,423.26
  5. Step 5: Solve for x
    x = 221,423.26/489.13
  6. Step 6: Final answer
    x = 452.69

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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.