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Finding the Fourth Proportional to 1,275.97, 1,760.46 and 772.06

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Solution

The fourth proportional to 1,275.97, 1,760.46 and 772.06 is: 1,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.97 : 1,760.46 = 772.06 : x
  2. Step 2: Convert to fraction form
    1,275.97/1,760.46 = 772.06/x
  3. Step 3: Cross multiply
    1,275.97x = 1,760.46 × 772.06
  4. Step 4: Simplify right side
    1,275.97x = 1,359,180.75
  5. Step 5: Solve for x
    x = 1,359,180.75/1,275.97
  6. Step 6: Final answer
    x = 1,065.21

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1.5x scale

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.