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Finding the Fourth Proportional to 680.67, 939.36 and 415.30

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Solution

The fourth proportional to 680.67, 939.36 and 415.30 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 939.36 = 415.30 : x
  2. Step 2: Convert to fraction form
    680.67/939.36 = 415.30/x
  3. Step 3: Cross multiply
    680.67x = 939.36 × 415.30
  4. Step 4: Simplify right side
    680.67x = 390,116.21
  5. Step 5: Solve for x
    x = 390,116.21/680.67
  6. Step 6: Final answer
    x = 573.14

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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.