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Finding the Fourth Proportional to 697.40, 961.46 and 531.31

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Solution

The fourth proportional to 697.40, 961.46 and 531.31 is: 732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 961.46 = 531.31 : x
  2. Step 2: Convert to fraction form
    697.40/961.46 = 531.31/x
  3. Step 3: Cross multiply
    697.40x = 961.46 × 531.31
  4. Step 4: Simplify right side
    697.40x = 510,833.31
  5. Step 5: Solve for x
    x = 510,833.31/697.40
  6. Step 6: Final answer
    x = 732.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.