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Finding the Fourth Proportional to 844.04, 1,265.10 and 410.20

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Solution

The fourth proportional to 844.04, 1,265.10 and 410.20 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.04 : 1,265.10 = 410.20 : x
  2. Step 2: Convert to fraction form
    844.04/1,265.10 = 410.20/x
  3. Step 3: Cross multiply
    844.04x = 1,265.10 × 410.20
  4. Step 4: Simplify right side
    844.04x = 518,944.02
  5. Step 5: Solve for x
    x = 518,944.02/844.04
  6. Step 6: Final answer
    x = 614.83

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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.