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Finding the Fourth Proportional to 959.92, 1,432.39 and 856.49

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Solution

The fourth proportional to 959.92, 1,432.39 and 856.49 is: 1,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.92 : 1,432.39 = 856.49 : x
  2. Step 2: Convert to fraction form
    959.92/1,432.39 = 856.49/x
  3. Step 3: Cross multiply
    959.92x = 1,432.39 × 856.49
  4. Step 4: Simplify right side
    959.92x = 1,226,825.57
  5. Step 5: Solve for x
    x = 1,226,825.57/959.92
  6. Step 6: Final answer
    x = 1,278.05

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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.