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Finding the Fourth Proportional to 680.92, 939.71 and 415.54

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Solution

The fourth proportional to 680.92, 939.71 and 415.54 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.92 : 939.71 = 415.54 : x
  2. Step 2: Convert to fraction form
    680.92/939.71 = 415.54/x
  3. Step 3: Cross multiply
    680.92x = 939.71 × 415.54
  4. Step 4: Simplify right side
    680.92x = 390,487.09
  5. Step 5: Solve for x
    x = 390,487.09/680.92
  6. Step 6: Final answer
    x = 573.47

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1.5x scale

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.