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Finding the Fourth Proportional to 583.18, 801.20 and 472.31

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Solution

The fourth proportional to 583.18, 801.20 and 472.31 is: 648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 801.20 = 472.31 : x
  2. Step 2: Convert to fraction form
    583.18/801.20 = 472.31/x
  3. Step 3: Cross multiply
    583.18x = 801.20 × 472.31
  4. Step 4: Simplify right side
    583.18x = 378,414.77
  5. Step 5: Solve for x
    x = 378,414.77/583.18
  6. Step 6: Final answer
    x = 648.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.