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Finding the Fourth Proportional to 701.69, 966.21 and 635.78

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Solution

The fourth proportional to 701.69, 966.21 and 635.78 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.69 : 966.21 = 635.78 : x
  2. Step 2: Convert to fraction form
    701.69/966.21 = 635.78/x
  3. Step 3: Cross multiply
    701.69x = 966.21 × 635.78
  4. Step 4: Simplify right side
    701.69x = 614,296.99
  5. Step 5: Solve for x
    x = 614,296.99/701.69
  6. Step 6: Final answer
    x = 875.45

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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.