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Finding the Fourth Proportional to 979.82, 1,470.27 and 547.22

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Solution

The fourth proportional to 979.82, 1,470.27 and 547.22 is: 821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,470.27 = 547.22 : x
  2. Step 2: Convert to fraction form
    979.82/1,470.27 = 547.22/x
  3. Step 3: Cross multiply
    979.82x = 1,470.27 × 547.22
  4. Step 4: Simplify right side
    979.82x = 804,561.15
  5. Step 5: Solve for x
    x = 804,561.15/979.82
  6. Step 6: Final answer
    x = 821.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.