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Finding the Fourth Proportional to 515.78, 772.28 and 310.06

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Solution

The fourth proportional to 515.78, 772.28 and 310.06 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.78 : 772.28 = 310.06 : x
  2. Step 2: Convert to fraction form
    515.78/772.28 = 310.06/x
  3. Step 3: Cross multiply
    515.78x = 772.28 × 310.06
  4. Step 4: Simplify right side
    515.78x = 239,451.98
  5. Step 5: Solve for x
    x = 239,451.98/515.78
  6. Step 6: Final answer
    x = 464.26

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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.