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Finding the Fourth Proportional to 920.22, 1,379.07 and 432.42

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Solution

The fourth proportional to 920.22, 1,379.07 and 432.42 is: 648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.22 : 1,379.07 = 432.42 : x
  2. Step 2: Convert to fraction form
    920.22/1,379.07 = 432.42/x
  3. Step 3: Cross multiply
    920.22x = 1,379.07 × 432.42
  4. Step 4: Simplify right side
    920.22x = 596,337.45
  5. Step 5: Solve for x
    x = 596,337.45/920.22
  6. Step 6: Final answer
    x = 648.04

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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.