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Finding the Fourth Proportional to 675.69, 932.43 and 380.96

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Solution

The fourth proportional to 675.69, 932.43 and 380.96 is: 525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 932.43 = 380.96 : x
  2. Step 2: Convert to fraction form
    675.69/932.43 = 380.96/x
  3. Step 3: Cross multiply
    675.69x = 932.43 × 380.96
  4. Step 4: Simplify right side
    675.69x = 355,218.53
  5. Step 5: Solve for x
    x = 355,218.53/675.69
  6. Step 6: Final answer
    x = 525.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.