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Finding the Fourth Proportional to 489.11, 733.50 and 456.75

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Solution

The fourth proportional to 489.11, 733.50 and 456.75 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 733.50 = 456.75 : x
  2. Step 2: Convert to fraction form
    489.11/733.50 = 456.75/x
  3. Step 3: Cross multiply
    489.11x = 733.50 × 456.75
  4. Step 4: Simplify right side
    489.11x = 335,026.13
  5. Step 5: Solve for x
    x = 335,026.13/489.11
  6. Step 6: Final answer
    x = 684.98

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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.