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Finding the Fourth Proportional to 844.77, 1,265.01 and 707.46

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Solution

The fourth proportional to 844.77, 1,265.01 and 707.46 is: 1,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.77 : 1,265.01 = 707.46 : x
  2. Step 2: Convert to fraction form
    844.77/1,265.01 = 707.46/x
  3. Step 3: Cross multiply
    844.77x = 1,265.01 × 707.46
  4. Step 4: Simplify right side
    844.77x = 894,943.97
  5. Step 5: Solve for x
    x = 894,943.97/844.77
  6. Step 6: Final answer
    x = 1,059.39

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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.