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Finding the Fourth Proportional to 489.06, 674.82 and 302.76

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Solution

The fourth proportional to 489.06, 674.82 and 302.76 is: 417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.06 : 674.82 = 302.76 : x
  2. Step 2: Convert to fraction form
    489.06/674.82 = 302.76/x
  3. Step 3: Cross multiply
    489.06x = 674.82 × 302.76
  4. Step 4: Simplify right side
    489.06x = 204,308.50
  5. Step 5: Solve for x
    x = 204,308.50/489.06
  6. Step 6: Final answer
    x = 417.76

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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.