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Finding the Fourth Proportional to 801.04, 1,200.42 and 544

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Solution

The fourth proportional to 801.04, 1,200.42 and 544 is: 815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.04 : 1,200.42 = 544 : x
  2. Step 2: Convert to fraction form
    801.04/1,200.42 = 544/x
  3. Step 3: Cross multiply
    801.04x = 1,200.42 × 544
  4. Step 4: Simplify right side
    801.04x = 653,028.48
  5. Step 5: Solve for x
    x = 653,028.48/801.04
  6. Step 6: Final answer
    x = 815.23

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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.