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Finding the Fourth Proportional to 613.81, 915.98 and 548.11

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Solution

The fourth proportional to 613.81, 915.98 and 548.11 is: 817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.81 : 915.98 = 548.11 : x
  2. Step 2: Convert to fraction form
    613.81/915.98 = 548.11/x
  3. Step 3: Cross multiply
    613.81x = 915.98 × 548.11
  4. Step 4: Simplify right side
    613.81x = 502,057.80
  5. Step 5: Solve for x
    x = 502,057.80/613.81
  6. Step 6: Final answer
    x = 817.94

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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.