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Finding the Fourth Proportional to 489.11, 733.05 and 456.30

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Solution

The fourth proportional to 489.11, 733.05 and 456.30 is: 683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 733.05 = 456.30 : x
  2. Step 2: Convert to fraction form
    489.11/733.05 = 456.30/x
  3. Step 3: Cross multiply
    489.11x = 733.05 × 456.30
  4. Step 4: Simplify right side
    489.11x = 334,490.72
  5. Step 5: Solve for x
    x = 334,490.72/489.11
  6. Step 6: Final answer
    x = 683.88

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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.