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Finding the Fourth Proportional to 844.00, 1,265.97 and 473.80

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Solution

The fourth proportional to 844.00, 1,265.97 and 473.80 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.00 : 1,265.97 = 473.80 : x
  2. Step 2: Convert to fraction form
    844.00/1,265.97 = 473.80/x
  3. Step 3: Cross multiply
    844.00x = 1,265.97 × 473.80
  4. Step 4: Simplify right side
    844.00x = 599,821.13
  5. Step 5: Solve for x
    x = 599,821.13/844.00
  6. Step 6: Final answer
    x = 710.69

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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.