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Finding the Fourth Proportional to 697.40, 1,044.74 and 388.31

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Solution

The fourth proportional to 697.40, 1,044.74 and 388.31 is: 581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 1,044.74 = 388.31 : x
  2. Step 2: Convert to fraction form
    697.40/1,044.74 = 388.31/x
  3. Step 3: Cross multiply
    697.40x = 1,044.74 × 388.31
  4. Step 4: Simplify right side
    697.40x = 405,686.57
  5. Step 5: Solve for x
    x = 405,686.57/697.40
  6. Step 6: Final answer
    x = 581.71

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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.