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Finding the Fourth Proportional to 922.34, 1,382.12 and 556.72

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Solution

The fourth proportional to 922.34, 1,382.12 and 556.72 is: 834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.34 : 1,382.12 = 556.72 : x
  2. Step 2: Convert to fraction form
    922.34/1,382.12 = 556.72/x
  3. Step 3: Cross multiply
    922.34x = 1,382.12 × 556.72
  4. Step 4: Simplify right side
    922.34x = 769,453.85
  5. Step 5: Solve for x
    x = 769,453.85/922.34
  6. Step 6: Final answer
    x = 834.24

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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.