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Finding the Fourth Proportional to 878, 1,211.28 and 545.84

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Solution

The fourth proportional to 878, 1,211.28 and 545.84 is: 753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    878 : 1,211.28 = 545.84 : x
  2. Step 2: Convert to fraction form
    878/1,211.28 = 545.84/x
  3. Step 3: Cross multiply
    878x = 1,211.28 × 545.84
  4. Step 4: Simplify right side
    878x = 661,165.08
  5. Step 5: Solve for x
    x = 661,165.08/878
  6. Step 6: Final answer
    x = 753.04

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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.