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Finding the Fourth Proportional to 626.41, 864.48 and 405.55

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Solution

The fourth proportional to 626.41, 864.48 and 405.55 is: 559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.41 : 864.48 = 405.55 : x
  2. Step 2: Convert to fraction form
    626.41/864.48 = 405.55/x
  3. Step 3: Cross multiply
    626.41x = 864.48 × 405.55
  4. Step 4: Simplify right side
    626.41x = 350,589.86
  5. Step 5: Solve for x
    x = 350,589.86/626.41
  6. Step 6: Final answer
    x = 559.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.