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Finding the Fourth Proportional to 489.07, 730.97 and 426.88

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Solution

The fourth proportional to 489.07, 730.97 and 426.88 is: 638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.07 : 730.97 = 426.88 : x
  2. Step 2: Convert to fraction form
    489.07/730.97 = 426.88/x
  3. Step 3: Cross multiply
    489.07x = 730.97 × 426.88
  4. Step 4: Simplify right side
    489.07x = 312,036.47
  5. Step 5: Solve for x
    x = 312,036.47/489.07
  6. Step 6: Final answer
    x = 638.02

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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.