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Finding the Fourth Proportional to 580.88, 801.20 and 371.12

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Solution

The fourth proportional to 580.88, 801.20 and 371.12 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 801.20 = 371.12 : x
  2. Step 2: Convert to fraction form
    580.88/801.20 = 371.12/x
  3. Step 3: Cross multiply
    580.88x = 801.20 × 371.12
  4. Step 4: Simplify right side
    580.88x = 297,341.34
  5. Step 5: Solve for x
    x = 297,341.34/580.88
  6. Step 6: Final answer
    x = 511.88

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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.