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Finding the Fourth Proportional to 817.38, 1,225.80 and 544.92

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Solution

The fourth proportional to 817.38, 1,225.80 and 544.92 is: 817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.38 : 1,225.80 = 544.92 : x
  2. Step 2: Convert to fraction form
    817.38/1,225.80 = 544.92/x
  3. Step 3: Cross multiply
    817.38x = 1,225.80 × 544.92
  4. Step 4: Simplify right side
    817.38x = 667,962.94
  5. Step 5: Solve for x
    x = 667,962.94/817.38
  6. Step 6: Final answer
    x = 817.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.