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Finding the Fourth Proportional to 626.86, 865.07 and 347.15

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Solution

The fourth proportional to 626.86, 865.07 and 347.15 is: 479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.86 : 865.07 = 347.15 : x
  2. Step 2: Convert to fraction form
    626.86/865.07 = 347.15/x
  3. Step 3: Cross multiply
    626.86x = 865.07 × 347.15
  4. Step 4: Simplify right side
    626.86x = 300,309.05
  5. Step 5: Solve for x
    x = 300,309.05/626.86
  6. Step 6: Final answer
    x = 479.07

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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.