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Finding the Fourth Proportional to 606.87, 909.79 and 400.81

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Solution

The fourth proportional to 606.87, 909.79 and 400.81 is: 600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.87 : 909.79 = 400.81 : x
  2. Step 2: Convert to fraction form
    606.87/909.79 = 400.81/x
  3. Step 3: Cross multiply
    606.87x = 909.79 × 400.81
  4. Step 4: Simplify right side
    606.87x = 364,652.93
  5. Step 5: Solve for x
    x = 364,652.93/606.87
  6. Step 6: Final answer
    x = 600.87

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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.