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Finding the Fourth Proportional to 574.64, 793.01 and 312.66

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Solution

The fourth proportional to 574.64, 793.01 and 312.66 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.64 : 793.01 = 312.66 : x
  2. Step 2: Convert to fraction form
    574.64/793.01 = 312.66/x
  3. Step 3: Cross multiply
    574.64x = 793.01 × 312.66
  4. Step 4: Simplify right side
    574.64x = 247,940.94
  5. Step 5: Solve for x
    x = 247,940.94/574.64
  6. Step 6: Final answer
    x = 431.47

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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.