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Finding the Fourth Proportional to 1,275.64, 1,761.24 and 856.62

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Solution

The fourth proportional to 1,275.64, 1,761.24 and 856.62 is: 1,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.64 : 1,761.24 = 856.62 : x
  2. Step 2: Convert to fraction form
    1,275.64/1,761.24 = 856.62/x
  3. Step 3: Cross multiply
    1,275.64x = 1,761.24 × 856.62
  4. Step 4: Simplify right side
    1,275.64x = 1,508,713.41
  5. Step 5: Solve for x
    x = 1,508,713.41/1,275.64
  6. Step 6: Final answer
    x = 1,182.71

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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.