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Finding the Fourth Proportional to 423.68, 583.20 and 379.20

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Solution

The fourth proportional to 423.68, 583.20 and 379.20 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 583.20 = 379.20 : x
  2. Step 2: Convert to fraction form
    423.68/583.20 = 379.20/x
  3. Step 3: Cross multiply
    423.68x = 583.20 × 379.20
  4. Step 4: Simplify right side
    423.68x = 221,149.44
  5. Step 5: Solve for x
    x = 221,149.44/423.68
  6. Step 6: Final answer
    x = 521.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.