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Finding the Fourth Proportional to 574.44, 790.97 and 474.46

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Solution

The fourth proportional to 574.44, 790.97 and 474.46 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.44 : 790.97 = 474.46 : x
  2. Step 2: Convert to fraction form
    574.44/790.97 = 474.46/x
  3. Step 3: Cross multiply
    574.44x = 790.97 × 474.46
  4. Step 4: Simplify right side
    574.44x = 375,279.28
  5. Step 5: Solve for x
    x = 375,279.28/574.44
  6. Step 6: Final answer
    x = 653.29

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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.