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Finding the Fourth Proportional to 867.82, 1,301.39 and 380.53

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Solution

The fourth proportional to 867.82, 1,301.39 and 380.53 is: 570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.82 : 1,301.39 = 380.53 : x
  2. Step 2: Convert to fraction form
    867.82/1,301.39 = 380.53/x
  3. Step 3: Cross multiply
    867.82x = 1,301.39 × 380.53
  4. Step 4: Simplify right side
    867.82x = 495,217.94
  5. Step 5: Solve for x
    x = 495,217.94/867.82
  6. Step 6: Final answer
    x = 570.65

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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.