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Finding the Fourth Proportional to 867.41, 1,301.16 and 380.47

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Solution

The fourth proportional to 867.41, 1,301.16 and 380.47 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.41 : 1,301.16 = 380.47 : x
  2. Step 2: Convert to fraction form
    867.41/1,301.16 = 380.47/x
  3. Step 3: Cross multiply
    867.41x = 1,301.16 × 380.47
  4. Step 4: Simplify right side
    867.41x = 495,045.84
  5. Step 5: Solve for x
    x = 495,045.84/867.41
  6. Step 6: Final answer
    x = 570.72

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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.