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Finding the Fourth Proportional to 697.58, 1,044.93 and 327.71

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Solution

The fourth proportional to 697.58, 1,044.93 and 327.71 is: 490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 1,044.93 = 327.71 : x
  2. Step 2: Convert to fraction form
    697.58/1,044.93 = 327.71/x
  3. Step 3: Cross multiply
    697.58x = 1,044.93 × 327.71
  4. Step 4: Simplify right side
    697.58x = 342,437.85
  5. Step 5: Solve for x
    x = 342,437.85/697.58
  6. Step 6: Final answer
    x = 490.89

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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.