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Finding the Fourth Proportional to 697.38, 1,050.96 and 664.44

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Solution

The fourth proportional to 697.38, 1,050.96 and 664.44 is: 1,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 1,050.96 = 664.44 : x
  2. Step 2: Convert to fraction form
    697.38/1,050.96 = 664.44/x
  3. Step 3: Cross multiply
    697.38x = 1,050.96 × 664.44
  4. Step 4: Simplify right side
    697.38x = 698,299.86
  5. Step 5: Solve for x
    x = 698,299.86/697.38
  6. Step 6: Final answer
    x = 1,001.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.