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Finding the Fourth Proportional to 868.24, 1,301.91 and 380.74

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Solution

The fourth proportional to 868.24, 1,301.91 and 380.74 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.24 : 1,301.91 = 380.74 : x
  2. Step 2: Convert to fraction form
    868.24/1,301.91 = 380.74/x
  3. Step 3: Cross multiply
    868.24x = 1,301.91 × 380.74
  4. Step 4: Simplify right side
    868.24x = 495,689.21
  5. Step 5: Solve for x
    x = 495,689.21/868.24
  6. Step 6: Final answer
    x = 570.91

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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.