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Finding the Fourth Proportional to 877.64, 1,209.87 and 545.90

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Solution

The fourth proportional to 877.64, 1,209.87 and 545.90 is: 752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.64 : 1,209.87 = 545.90 : x
  2. Step 2: Convert to fraction form
    877.64/1,209.87 = 545.90/x
  3. Step 3: Cross multiply
    877.64x = 1,209.87 × 545.90
  4. Step 4: Simplify right side
    877.64x = 660,461.98
  5. Step 5: Solve for x
    x = 660,461.98/877.64
  6. Step 6: Final answer
    x = 752.55

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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.