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Finding the Fourth Proportional to 680.68, 939.56 and 415.14

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Solution

The fourth proportional to 680.68, 939.56 and 415.14 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 939.56 = 415.14 : x
  2. Step 2: Convert to fraction form
    680.68/939.56 = 415.14/x
  3. Step 3: Cross multiply
    680.68x = 939.56 × 415.14
  4. Step 4: Simplify right side
    680.68x = 390,048.94
  5. Step 5: Solve for x
    x = 390,048.94/680.68
  6. Step 6: Final answer
    x = 573.03

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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.