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Finding the Fourth Proportional to 489.98, 738.68 and 463.52

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Solution

The fourth proportional to 489.98, 738.68 and 463.52 is: 698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.98 : 738.68 = 463.52 : x
  2. Step 2: Convert to fraction form
    489.98/738.68 = 463.52/x
  3. Step 3: Cross multiply
    489.98x = 738.68 × 463.52
  4. Step 4: Simplify right side
    489.98x = 342,392.95
  5. Step 5: Solve for x
    x = 342,392.95/489.98
  6. Step 6: Final answer
    x = 698.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.