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Finding the Fourth Proportional to 626.45, 864.59 and 364.61

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Solution

The fourth proportional to 626.45, 864.59 and 364.61 is: 503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.45 : 864.59 = 364.61 : x
  2. Step 2: Convert to fraction form
    626.45/864.59 = 364.61/x
  3. Step 3: Cross multiply
    626.45x = 864.59 × 364.61
  4. Step 4: Simplify right side
    626.45x = 315,232.01
  5. Step 5: Solve for x
    x = 315,232.01/626.45
  6. Step 6: Final answer
    x = 503.21

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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.