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Finding the Fourth Proportional to 515.92, 774.20 and 462.80

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Solution

The fourth proportional to 515.92, 774.20 and 462.80 is: 694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.92 : 774.20 = 462.80 : x
  2. Step 2: Convert to fraction form
    515.92/774.20 = 462.80/x
  3. Step 3: Cross multiply
    515.92x = 774.20 × 462.80
  4. Step 4: Simplify right side
    515.92x = 358,299.76
  5. Step 5: Solve for x
    x = 358,299.76/515.92
  6. Step 6: Final answer
    x = 694.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.