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Finding the Fourth Proportional to 531.20, 725.44 and 525.44

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Solution

The fourth proportional to 531.20, 725.44 and 525.44 is: 717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.20 : 725.44 = 525.44 : x
  2. Step 2: Convert to fraction form
    531.20/725.44 = 525.44/x
  3. Step 3: Cross multiply
    531.20x = 725.44 × 525.44
  4. Step 4: Simplify right side
    531.20x = 381,175.19
  5. Step 5: Solve for x
    x = 381,175.19/531.20
  6. Step 6: Final answer
    x = 717.57

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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.