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Finding the Fourth Proportional to 489.97, 672.14 and 448.98

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Solution

The fourth proportional to 489.97, 672.14 and 448.98 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.97 : 672.14 = 448.98 : x
  2. Step 2: Convert to fraction form
    489.97/672.14 = 448.98/x
  3. Step 3: Cross multiply
    489.97x = 672.14 × 448.98
  4. Step 4: Simplify right side
    489.97x = 301,777.42
  5. Step 5: Solve for x
    x = 301,777.42/489.97
  6. Step 6: Final answer
    x = 615.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.