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Finding the Fourth Proportional to 841.22, 1,259.97 and 515.60

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Solution

The fourth proportional to 841.22, 1,259.97 and 515.60 is: 772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.22 : 1,259.97 = 515.60 : x
  2. Step 2: Convert to fraction form
    841.22/1,259.97 = 515.60/x
  3. Step 3: Cross multiply
    841.22x = 1,259.97 × 515.60
  4. Step 4: Simplify right side
    841.22x = 649,640.53
  5. Step 5: Solve for x
    x = 649,640.53/841.22
  6. Step 6: Final answer
    x = 772.26

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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.