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Finding the Fourth Proportional to 412.43, 616.25 and 347.63

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Solution

The fourth proportional to 412.43, 616.25 and 347.63 is: 519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 616.25 = 347.63 : x
  2. Step 2: Convert to fraction form
    412.43/616.25 = 347.63/x
  3. Step 3: Cross multiply
    412.43x = 616.25 × 347.63
  4. Step 4: Simplify right side
    412.43x = 214,222.17
  5. Step 5: Solve for x
    x = 214,222.17/412.43
  6. Step 6: Final answer
    x = 519.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.