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Finding the Fourth Proportional to 1,224.55, 1,689.26 and 781.99

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Solution

The fourth proportional to 1,224.55, 1,689.26 and 781.99 is: 1,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.55 : 1,689.26 = 781.99 : x
  2. Step 2: Convert to fraction form
    1,224.55/1,689.26 = 781.99/x
  3. Step 3: Cross multiply
    1,224.55x = 1,689.26 × 781.99
  4. Step 4: Simplify right side
    1,224.55x = 1,320,976.29
  5. Step 5: Solve for x
    x = 1,320,976.29/1,224.55
  6. Step 6: Final answer
    x = 1,078.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.