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Finding the Fourth Proportional to 680.50, 938.80 and 522.86

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Solution

The fourth proportional to 680.50, 938.80 and 522.86 is: 721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.50 : 938.80 = 522.86 : x
  2. Step 2: Convert to fraction form
    680.50/938.80 = 522.86/x
  3. Step 3: Cross multiply
    680.50x = 938.80 × 522.86
  4. Step 4: Simplify right side
    680.50x = 490,860.97
  5. Step 5: Solve for x
    x = 490,860.97/680.50
  6. Step 6: Final answer
    x = 721.32

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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.