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Finding the Fourth Proportional to 515.76, 772.92 and 412.80

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Solution

The fourth proportional to 515.76, 772.92 and 412.80 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 772.92 = 412.80 : x
  2. Step 2: Convert to fraction form
    515.76/772.92 = 412.80/x
  3. Step 3: Cross multiply
    515.76x = 772.92 × 412.80
  4. Step 4: Simplify right side
    515.76x = 319,061.38
  5. Step 5: Solve for x
    x = 319,061.38/515.76
  6. Step 6: Final answer
    x = 618.62

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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.