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Finding the Fourth Proportional to 655.71, 984.65 and 400.83

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Solution

The fourth proportional to 655.71, 984.65 and 400.83 is: 601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.71 : 984.65 = 400.83 : x
  2. Step 2: Convert to fraction form
    655.71/984.65 = 400.83/x
  3. Step 3: Cross multiply
    655.71x = 984.65 × 400.83
  4. Step 4: Simplify right side
    655.71x = 394,675.26
  5. Step 5: Solve for x
    x = 394,675.26/655.71
  6. Step 6: Final answer
    x = 601.91

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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.