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Finding the Fourth Proportional to 580.69, 800.62 and 462.39

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Solution

The fourth proportional to 580.69, 800.62 and 462.39 is: 637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 800.62 = 462.39 : x
  2. Step 2: Convert to fraction form
    580.69/800.62 = 462.39/x
  3. Step 3: Cross multiply
    580.69x = 800.62 × 462.39
  4. Step 4: Simplify right side
    580.69x = 370,198.68
  5. Step 5: Solve for x
    x = 370,198.68/580.69
  6. Step 6: Final answer
    x = 637.52

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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.