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Finding the Fourth Proportional to 697.08, 1,047.24 and 408.72

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Solution

The fourth proportional to 697.08, 1,047.24 and 408.72 is: 614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 1,047.24 = 408.72 : x
  2. Step 2: Convert to fraction form
    697.08/1,047.24 = 408.72/x
  3. Step 3: Cross multiply
    697.08x = 1,047.24 × 408.72
  4. Step 4: Simplify right side
    697.08x = 428,027.93
  5. Step 5: Solve for x
    x = 428,027.93/697.08
  6. Step 6: Final answer
    x = 614.03

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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.