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Finding the Fourth Proportional to 697.94, 1,047.56 and 438.41

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Solution

The fourth proportional to 697.94, 1,047.56 and 438.41 is: 658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.94 : 1,047.56 = 438.41 : x
  2. Step 2: Convert to fraction form
    697.94/1,047.56 = 438.41/x
  3. Step 3: Cross multiply
    697.94x = 1,047.56 × 438.41
  4. Step 4: Simplify right side
    697.94x = 459,260.78
  5. Step 5: Solve for x
    x = 459,260.78/697.94
  6. Step 6: Final answer
    x = 658.02

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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.