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Finding the Fourth Proportional to 680.25, 939.02 and 448.05

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Solution

The fourth proportional to 680.25, 939.02 and 448.05 is: 618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 939.02 = 448.05 : x
  2. Step 2: Convert to fraction form
    680.25/939.02 = 448.05/x
  3. Step 3: Cross multiply
    680.25x = 939.02 × 448.05
  4. Step 4: Simplify right side
    680.25x = 420,725.67
  5. Step 5: Solve for x
    x = 420,725.67/680.25
  6. Step 6: Final answer
    x = 618.49

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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.