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Finding the Fourth Proportional to 574.78, 793.16 and 312.79

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Solution

The fourth proportional to 574.78, 793.16 and 312.79 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.78 : 793.16 = 312.79 : x
  2. Step 2: Convert to fraction form
    574.78/793.16 = 312.79/x
  3. Step 3: Cross multiply
    574.78x = 793.16 × 312.79
  4. Step 4: Simplify right side
    574.78x = 248,092.52
  5. Step 5: Solve for x
    x = 248,092.52/574.78
  6. Step 6: Final answer
    x = 431.63

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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.