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Finding the Fourth Proportional to 489.27, 675.05 and 314.71

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Solution

The fourth proportional to 489.27, 675.05 and 314.71 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.27 : 675.05 = 314.71 : x
  2. Step 2: Convert to fraction form
    489.27/675.05 = 314.71/x
  3. Step 3: Cross multiply
    489.27x = 675.05 × 314.71
  4. Step 4: Simplify right side
    489.27x = 212,443.41
  5. Step 5: Solve for x
    x = 212,443.41/489.27
  6. Step 6: Final answer
    x = 434.21

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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.