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Finding the Fourth Proportional to 626.69, 864.78 and 364.65

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Solution

The fourth proportional to 626.69, 864.78 and 364.65 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.69 : 864.78 = 364.65 : x
  2. Step 2: Convert to fraction form
    626.69/864.78 = 364.65/x
  3. Step 3: Cross multiply
    626.69x = 864.78 × 364.65
  4. Step 4: Simplify right side
    626.69x = 315,342.03
  5. Step 5: Solve for x
    x = 315,342.03/626.69
  6. Step 6: Final answer
    x = 503.19

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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.