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Finding the Fourth Proportional to 548.16, 818.02 and 489.76

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Solution

The fourth proportional to 548.16, 818.02 and 489.76 is: 730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 818.02 = 489.76 : x
  2. Step 2: Convert to fraction form
    548.16/818.02 = 489.76/x
  3. Step 3: Cross multiply
    548.16x = 818.02 × 489.76
  4. Step 4: Simplify right side
    548.16x = 400,633.48
  5. Step 5: Solve for x
    x = 400,633.48/548.16
  6. Step 6: Final answer
    x = 730.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.