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Finding the Fourth Proportional to 680.03, 938.09 and 417.59

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Solution

The fourth proportional to 680.03, 938.09 and 417.59 is: 576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.03 : 938.09 = 417.59 : x
  2. Step 2: Convert to fraction form
    680.03/938.09 = 417.59/x
  3. Step 3: Cross multiply
    680.03x = 938.09 × 417.59
  4. Step 4: Simplify right side
    680.03x = 391,734.92
  5. Step 5: Solve for x
    x = 391,734.92/680.03
  6. Step 6: Final answer
    x = 576.06

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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.