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Finding the Fourth Proportional to 867.91, 1,301.91 and 380.97

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Solution

The fourth proportional to 867.91, 1,301.91 and 380.97 is: 571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.91 : 1,301.91 = 380.97 : x
  2. Step 2: Convert to fraction form
    867.91/1,301.91 = 380.97/x
  3. Step 3: Cross multiply
    867.91x = 1,301.91 × 380.97
  4. Step 4: Simplify right side
    867.91x = 495,988.65
  5. Step 5: Solve for x
    x = 495,988.65/867.91
  6. Step 6: Final answer
    x = 571.47

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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.