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Finding the Fourth Proportional to 580.38, 800.52 and 370.62

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Solution

The fourth proportional to 580.38, 800.52 and 370.62 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.38 : 800.52 = 370.62 : x
  2. Step 2: Convert to fraction form
    580.38/800.52 = 370.62/x
  3. Step 3: Cross multiply
    580.38x = 800.52 × 370.62
  4. Step 4: Simplify right side
    580.38x = 296,688.72
  5. Step 5: Solve for x
    x = 296,688.72/580.38
  6. Step 6: Final answer
    x = 511.20

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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.