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Finding the Fourth Proportional to 697.06, 961.94 and 382.32

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Solution

The fourth proportional to 697.06, 961.94 and 382.32 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 961.94 = 382.32 : x
  2. Step 2: Convert to fraction form
    697.06/961.94 = 382.32/x
  3. Step 3: Cross multiply
    697.06x = 961.94 × 382.32
  4. Step 4: Simplify right side
    697.06x = 367,768.90
  5. Step 5: Solve for x
    x = 367,768.90/697.06
  6. Step 6: Final answer
    x = 527.60

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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.