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Finding the Fourth Proportional to 876.68, 1,209.22 and 545.16

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Solution

The fourth proportional to 876.68, 1,209.22 and 545.16 is: 751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,209.22 = 545.16 : x
  2. Step 2: Convert to fraction form
    876.68/1,209.22 = 545.16/x
  3. Step 3: Cross multiply
    876.68x = 1,209.22 × 545.16
  4. Step 4: Simplify right side
    876.68x = 659,218.38
  5. Step 5: Solve for x
    x = 659,218.38/876.68
  6. Step 6: Final answer
    x = 751.95

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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.