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Finding the Fourth Proportional to 680.59, 939.23 and 401.02

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Solution

The fourth proportional to 680.59, 939.23 and 401.02 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.59 : 939.23 = 401.02 : x
  2. Step 2: Convert to fraction form
    680.59/939.23 = 401.02/x
  3. Step 3: Cross multiply
    680.59x = 939.23 × 401.02
  4. Step 4: Simplify right side
    680.59x = 376,647.17
  5. Step 5: Solve for x
    x = 376,647.17/680.59
  6. Step 6: Final answer
    x = 553.42

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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.