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Finding the Fourth Proportional to 531.24, 799.29 and 314.97

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Solution

The fourth proportional to 531.24, 799.29 and 314.97 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 799.29 = 314.97 : x
  2. Step 2: Convert to fraction form
    531.24/799.29 = 314.97/x
  3. Step 3: Cross multiply
    531.24x = 799.29 × 314.97
  4. Step 4: Simplify right side
    531.24x = 251,752.37
  5. Step 5: Solve for x
    x = 251,752.37/531.24
  6. Step 6: Final answer
    x = 473.90

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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.