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Finding the Fourth Proportional to 489.61, 674.91 and 302.75

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Solution

The fourth proportional to 489.61, 674.91 and 302.75 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.61 : 674.91 = 302.75 : x
  2. Step 2: Convert to fraction form
    489.61/674.91 = 302.75/x
  3. Step 3: Cross multiply
    489.61x = 674.91 × 302.75
  4. Step 4: Simplify right side
    489.61x = 204,327.49
  5. Step 5: Solve for x
    x = 204,327.49/489.61
  6. Step 6: Final answer
    x = 417.33

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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.