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Finding the Fourth Proportional to 922.19, 1,377.20 and 820.13

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Solution

The fourth proportional to 922.19, 1,377.20 and 820.13 is: 1,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.19 : 1,377.20 = 820.13 : x
  2. Step 2: Convert to fraction form
    922.19/1,377.20 = 820.13/x
  3. Step 3: Cross multiply
    922.19x = 1,377.20 × 820.13
  4. Step 4: Simplify right side
    922.19x = 1,129,478.20
  5. Step 5: Solve for x
    x = 1,129,478.20/922.19
  6. Step 6: Final answer
    x = 1,224.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.