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Finding the Fourth Proportional to 877.20, 1,210.36 and 545.68

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Solution

The fourth proportional to 877.20, 1,210.36 and 545.68 is: 752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,210.36 = 545.68 : x
  2. Step 2: Convert to fraction form
    877.20/1,210.36 = 545.68/x
  3. Step 3: Cross multiply
    877.20x = 1,210.36 × 545.68
  4. Step 4: Simplify right side
    877.20x = 660,469.24
  5. Step 5: Solve for x
    x = 660,469.24/877.20
  6. Step 6: Final answer
    x = 752.93

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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.