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Finding the Fourth Proportional to 489.42, 674.31 and 477.24

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Solution

The fourth proportional to 489.42, 674.31 and 477.24 is: 657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 674.31 = 477.24 : x
  2. Step 2: Convert to fraction form
    489.42/674.31 = 477.24/x
  3. Step 3: Cross multiply
    489.42x = 674.31 × 477.24
  4. Step 4: Simplify right side
    489.42x = 321,807.70
  5. Step 5: Solve for x
    x = 321,807.70/489.42
  6. Step 6: Final answer
    x = 657.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.