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Finding the Fourth Proportional to 680.83, 939.47 and 397.17

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Solution

The fourth proportional to 680.83, 939.47 and 397.17 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.83 : 939.47 = 397.17 : x
  2. Step 2: Convert to fraction form
    680.83/939.47 = 397.17/x
  3. Step 3: Cross multiply
    680.83x = 939.47 × 397.17
  4. Step 4: Simplify right side
    680.83x = 373,127.31
  5. Step 5: Solve for x
    x = 373,127.31/680.83
  6. Step 6: Final answer
    x = 548.05

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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.