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Finding the Fourth Proportional to 379.64, 572.19 and 379.64

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Solution

The fourth proportional to 379.64, 572.19 and 379.64 is: 572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 572.19 = 379.64 : x
  2. Step 2: Convert to fraction form
    379.64/572.19 = 379.64/x
  3. Step 3: Cross multiply
    379.64x = 572.19 × 379.64
  4. Step 4: Simplify right side
    379.64x = 217,223.35
  5. Step 5: Solve for x
    x = 217,223.35/379.64
  6. Step 6: Final answer
    x = 572.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.