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Finding the Fourth Proportional to 920.32, 1,382.32 and 555.84

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Solution

The fourth proportional to 920.32, 1,382.32 and 555.84 is: 834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.32 : 1,382.32 = 555.84 : x
  2. Step 2: Convert to fraction form
    920.32/1,382.32 = 555.84/x
  3. Step 3: Cross multiply
    920.32x = 1,382.32 × 555.84
  4. Step 4: Simplify right side
    920.32x = 768,348.75
  5. Step 5: Solve for x
    x = 768,348.75/920.32
  6. Step 6: Final answer
    x = 834.87

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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.