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Finding the Fourth Proportional to 849.85, 1,275.13 and 781.74

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Solution

The fourth proportional to 849.85, 1,275.13 and 781.74 is: 1,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.85 : 1,275.13 = 781.74 : x
  2. Step 2: Convert to fraction form
    849.85/1,275.13 = 781.74/x
  3. Step 3: Cross multiply
    849.85x = 1,275.13 × 781.74
  4. Step 4: Simplify right side
    849.85x = 996,820.13
  5. Step 5: Solve for x
    x = 996,820.13/849.85
  6. Step 6: Final answer
    x = 1,172.94

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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.