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Finding the Fourth Proportional to 626.84, 864.68 and 405.44

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Solution

The fourth proportional to 626.84, 864.68 and 405.44 is: 559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.84 : 864.68 = 405.44 : x
  2. Step 2: Convert to fraction form
    626.84/864.68 = 405.44/x
  3. Step 3: Cross multiply
    626.84x = 864.68 × 405.44
  4. Step 4: Simplify right side
    626.84x = 350,575.86
  5. Step 5: Solve for x
    x = 350,575.86/626.84
  6. Step 6: Final answer
    x = 559.27

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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.