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Finding the Fourth Proportional to 626.86, 864.91 and 364.72

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Solution

The fourth proportional to 626.86, 864.91 and 364.72 is: 503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.86 : 864.91 = 364.72 : x
  2. Step 2: Convert to fraction form
    626.86/864.91 = 364.72/x
  3. Step 3: Cross multiply
    626.86x = 864.91 × 364.72
  4. Step 4: Simplify right side
    626.86x = 315,449.89
  5. Step 5: Solve for x
    x = 315,449.89/626.86
  6. Step 6: Final answer
    x = 503.23

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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.