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Finding the Fourth Proportional to 902, 1,244.46 and 547.80

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Solution

The fourth proportional to 902, 1,244.46 and 547.80 is: 755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902 : 1,244.46 = 547.80 : x
  2. Step 2: Convert to fraction form
    902/1,244.46 = 547.80/x
  3. Step 3: Cross multiply
    902x = 1,244.46 × 547.80
  4. Step 4: Simplify right side
    902x = 681,715.19
  5. Step 5: Solve for x
    x = 681,715.19/902
  6. Step 6: Final answer
    x = 755.78

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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.