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Finding the Fourth Proportional to 465.15, 697.78 and 438.42

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Solution

The fourth proportional to 465.15, 697.78 and 438.42 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.15 : 697.78 = 438.42 : x
  2. Step 2: Convert to fraction form
    465.15/697.78 = 438.42/x
  3. Step 3: Cross multiply
    465.15x = 697.78 × 438.42
  4. Step 4: Simplify right side
    465.15x = 305,923.87
  5. Step 5: Solve for x
    x = 305,923.87/465.15
  6. Step 6: Final answer
    x = 657.68

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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.