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Finding the Fourth Proportional to 868.21, 1,301.58 and 380.89

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Solution

The fourth proportional to 868.21, 1,301.58 and 380.89 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.21 : 1,301.58 = 380.89 : x
  2. Step 2: Convert to fraction form
    868.21/1,301.58 = 380.89/x
  3. Step 3: Cross multiply
    868.21x = 1,301.58 × 380.89
  4. Step 4: Simplify right side
    868.21x = 495,758.81
  5. Step 5: Solve for x
    x = 495,758.81/868.21
  6. Step 6: Final answer
    x = 571.01

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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.