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Finding the Fourth Proportional to 922.20, 1,382.34 and 459.74

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Solution

The fourth proportional to 922.20, 1,382.34 and 459.74 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.20 : 1,382.34 = 459.74 : x
  2. Step 2: Convert to fraction form
    922.20/1,382.34 = 459.74/x
  3. Step 3: Cross multiply
    922.20x = 1,382.34 × 459.74
  4. Step 4: Simplify right side
    922.20x = 635,516.99
  5. Step 5: Solve for x
    x = 635,516.99/922.20
  6. Step 6: Final answer
    x = 689.13

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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.