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Finding the Fourth Proportional to 489.08, 730.98 and 450.17

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Solution

The fourth proportional to 489.08, 730.98 and 450.17 is: 672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.08 : 730.98 = 450.17 : x
  2. Step 2: Convert to fraction form
    489.08/730.98 = 450.17/x
  3. Step 3: Cross multiply
    489.08x = 730.98 × 450.17
  4. Step 4: Simplify right side
    489.08x = 329,061.61
  5. Step 5: Solve for x
    x = 329,061.61/489.08
  6. Step 6: Final answer
    x = 672.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.