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Finding the Fourth Proportional to 922.11, 1,374.78 and 818.22

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Solution

The fourth proportional to 922.11, 1,374.78 and 818.22 is: 1,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.11 : 1,374.78 = 818.22 : x
  2. Step 2: Convert to fraction form
    922.11/1,374.78 = 818.22/x
  3. Step 3: Cross multiply
    922.11x = 1,374.78 × 818.22
  4. Step 4: Simplify right side
    922.11x = 1,124,872.49
  5. Step 5: Solve for x
    x = 1,124,872.49/922.11
  6. Step 6: Final answer
    x = 1,219.89

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1.5x scale

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.