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Finding the Fourth Proportional to 626.42, 864.65 and 405.39

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Solution

The fourth proportional to 626.42, 864.65 and 405.39 is: 559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.42 : 864.65 = 405.39 : x
  2. Step 2: Convert to fraction form
    626.42/864.65 = 405.39/x
  3. Step 3: Cross multiply
    626.42x = 864.65 × 405.39
  4. Step 4: Simplify right side
    626.42x = 350,521.07
  5. Step 5: Solve for x
    x = 350,521.07/626.42
  6. Step 6: Final answer
    x = 559.56

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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.