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Finding the Fourth Proportional to 876.40, 1,209.54 and 545.20

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Solution

The fourth proportional to 876.40, 1,209.54 and 545.20 is: 752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,209.54 = 545.20 : x
  2. Step 2: Convert to fraction form
    876.40/1,209.54 = 545.20/x
  3. Step 3: Cross multiply
    876.40x = 1,209.54 × 545.20
  4. Step 4: Simplify right side
    876.40x = 659,441.21
  5. Step 5: Solve for x
    x = 659,441.21/876.40
  6. Step 6: Final answer
    x = 752.44

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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.