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Finding the Fourth Proportional to 626.83, 865.15 and 364.90

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Solution

The fourth proportional to 626.83, 865.15 and 364.90 is: 503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.83 : 865.15 = 364.90 : x
  2. Step 2: Convert to fraction form
    626.83/865.15 = 364.90/x
  3. Step 3: Cross multiply
    626.83x = 865.15 × 364.90
  4. Step 4: Simplify right side
    626.83x = 315,687.08
  5. Step 5: Solve for x
    x = 315,687.08/626.83
  6. Step 6: Final answer
    x = 503.63

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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.