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Finding the Fourth Proportional to 880.68, 1,311.65 and 856.46

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Solution

The fourth proportional to 880.68, 1,311.65 and 856.46 is: 1,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.68 : 1,311.65 = 856.46 : x
  2. Step 2: Convert to fraction form
    880.68/1,311.65 = 856.46/x
  3. Step 3: Cross multiply
    880.68x = 1,311.65 × 856.46
  4. Step 4: Simplify right side
    880.68x = 1,123,375.76
  5. Step 5: Solve for x
    x = 1,123,375.76/880.68
  6. Step 6: Final answer
    x = 1,275.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.