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Finding the Fourth Proportional to 932.20, 1,396.92 and 383.74

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Solution

The fourth proportional to 932.20, 1,396.92 and 383.74 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.20 : 1,396.92 = 383.74 : x
  2. Step 2: Convert to fraction form
    932.20/1,396.92 = 383.74/x
  3. Step 3: Cross multiply
    932.20x = 1,396.92 × 383.74
  4. Step 4: Simplify right side
    932.20x = 536,054.08
  5. Step 5: Solve for x
    x = 536,054.08/932.20
  6. Step 6: Final answer
    x = 575.04

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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.