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Finding the Fourth Proportional to 580.54, 801.17 and 347.62

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Solution

The fourth proportional to 580.54, 801.17 and 347.62 is: 479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 801.17 = 347.62 : x
  2. Step 2: Convert to fraction form
    580.54/801.17 = 347.62/x
  3. Step 3: Cross multiply
    580.54x = 801.17 × 347.62
  4. Step 4: Simplify right side
    580.54x = 278,502.72
  5. Step 5: Solve for x
    x = 278,502.72/580.54
  6. Step 6: Final answer
    x = 479.73

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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.