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Finding the Fourth Proportional to 467.70, 698.42 and 440.70

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Solution

The fourth proportional to 467.70, 698.42 and 440.70 is: 658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.70 : 698.42 = 440.70 : x
  2. Step 2: Convert to fraction form
    467.70/698.42 = 440.70/x
  3. Step 3: Cross multiply
    467.70x = 698.42 × 440.70
  4. Step 4: Simplify right side
    467.70x = 307,793.69
  5. Step 5: Solve for x
    x = 307,793.69/467.70
  6. Step 6: Final answer
    x = 658.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.