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Finding the Fourth Proportional to 531.54, 796.59 and 315.27

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Solution

The fourth proportional to 531.54, 796.59 and 315.27 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 796.59 = 315.27 : x
  2. Step 2: Convert to fraction form
    531.54/796.59 = 315.27/x
  3. Step 3: Cross multiply
    531.54x = 796.59 × 315.27
  4. Step 4: Simplify right side
    531.54x = 251,140.93
  5. Step 5: Solve for x
    x = 251,140.93/531.54
  6. Step 6: Final answer
    x = 472.48

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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.