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Finding the Fourth Proportional to 412.17, 614.75 and 347.59

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Solution

The fourth proportional to 412.17, 614.75 and 347.59 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 614.75 = 347.59 : x
  2. Step 2: Convert to fraction form
    412.17/614.75 = 347.59/x
  3. Step 3: Cross multiply
    412.17x = 614.75 × 347.59
  4. Step 4: Simplify right side
    412.17x = 213,680.95
  5. Step 5: Solve for x
    x = 213,680.95/412.17
  6. Step 6: Final answer
    x = 518.43

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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.