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Finding the Fourth Proportional to 518.78, 716.04 and 311.78

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Solution

The fourth proportional to 518.78, 716.04 and 311.78 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 716.04 = 311.78 : x
  2. Step 2: Convert to fraction form
    518.78/716.04 = 311.78/x
  3. Step 3: Cross multiply
    518.78x = 716.04 × 311.78
  4. Step 4: Simplify right side
    518.78x = 223,246.95
  5. Step 5: Solve for x
    x = 223,246.95/518.78
  6. Step 6: Final answer
    x = 430.33

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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.