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Finding the Fourth Proportional to 626.87, 865.08 and 347.12

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Solution

The fourth proportional to 626.87, 865.08 and 347.12 is: 479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.87 : 865.08 = 347.12 : x
  2. Step 2: Convert to fraction form
    626.87/865.08 = 347.12/x
  3. Step 3: Cross multiply
    626.87x = 865.08 × 347.12
  4. Step 4: Simplify right side
    626.87x = 300,285.49
  5. Step 5: Solve for x
    x = 300,285.49/626.87
  6. Step 6: Final answer
    x = 479.02

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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.