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Finding the Fourth Proportional to 488.61, 674.51 and 322.92

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Solution

The fourth proportional to 488.61, 674.51 and 322.92 is: 445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.61 : 674.51 = 322.92 : x
  2. Step 2: Convert to fraction form
    488.61/674.51 = 322.92/x
  3. Step 3: Cross multiply
    488.61x = 674.51 × 322.92
  4. Step 4: Simplify right side
    488.61x = 217,811.15
  5. Step 5: Solve for x
    x = 217,811.15/488.61
  6. Step 6: Final answer
    x = 445.78

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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.