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Finding the Fourth Proportional to 518.88, 778.32 and 314.76

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Solution

The fourth proportional to 518.88, 778.32 and 314.76 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 778.32 = 314.76 : x
  2. Step 2: Convert to fraction form
    518.88/778.32 = 314.76/x
  3. Step 3: Cross multiply
    518.88x = 778.32 × 314.76
  4. Step 4: Simplify right side
    518.88x = 244,984.00
  5. Step 5: Solve for x
    x = 244,984.00/518.88
  6. Step 6: Final answer
    x = 472.14

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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.