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Finding the Fourth Proportional to 694.01, 1,041.02 and 207.41

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Solution

The fourth proportional to 694.01, 1,041.02 and 207.41 is: 311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.01 : 1,041.02 = 207.41 : x
  2. Step 2: Convert to fraction form
    694.01/1,041.02 = 207.41/x
  3. Step 3: Cross multiply
    694.01x = 1,041.02 × 207.41
  4. Step 4: Simplify right side
    694.01x = 215,912.49
  5. Step 5: Solve for x
    x = 215,912.49/694.01
  6. Step 6: Final answer
    x = 311.11

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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.