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Finding the Fourth Proportional to 531.74, 795.80 and 326.45

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Solution

The fourth proportional to 531.74, 795.80 and 326.45 is: 488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 795.80 = 326.45 : x
  2. Step 2: Convert to fraction form
    531.74/795.80 = 326.45/x
  3. Step 3: Cross multiply
    531.74x = 795.80 × 326.45
  4. Step 4: Simplify right side
    531.74x = 259,791.72
  5. Step 5: Solve for x
    x = 259,791.72/531.74
  6. Step 6: Final answer
    x = 488.57

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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.