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Finding the Fourth Proportional to 489.13, 674.52 and 320.83

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Solution

The fourth proportional to 489.13, 674.52 and 320.83 is: 442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.13 : 674.52 = 320.83 : x
  2. Step 2: Convert to fraction form
    489.13/674.52 = 320.83/x
  3. Step 3: Cross multiply
    489.13x = 674.52 × 320.83
  4. Step 4: Simplify right side
    489.13x = 216,406.25
  5. Step 5: Solve for x
    x = 216,406.25/489.13
  6. Step 6: Final answer
    x = 442.43

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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.