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Finding the Fourth Proportional to 697.86, 960.84 and 531.54

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Solution

The fourth proportional to 697.86, 960.84 and 531.54 is: 731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 960.84 = 531.54 : x
  2. Step 2: Convert to fraction form
    697.86/960.84 = 531.54/x
  3. Step 3: Cross multiply
    697.86x = 960.84 × 531.54
  4. Step 4: Simplify right side
    697.86x = 510,724.89
  5. Step 5: Solve for x
    x = 510,724.89/697.86
  6. Step 6: Final answer
    x = 731.84

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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.