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Finding the Fourth Proportional to 580.71, 800.82 and 370.95

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Solution

The fourth proportional to 580.71, 800.82 and 370.95 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.71 : 800.82 = 370.95 : x
  2. Step 2: Convert to fraction form
    580.71/800.82 = 370.95/x
  3. Step 3: Cross multiply
    580.71x = 800.82 × 370.95
  4. Step 4: Simplify right side
    580.71x = 297,064.43
  5. Step 5: Solve for x
    x = 297,064.43/580.71
  6. Step 6: Final answer
    x = 511.56

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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.