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Finding the Fourth Proportional to 701.39, 966.75 and 642.56

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Solution

The fourth proportional to 701.39, 966.75 and 642.56 is: 885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.39 : 966.75 = 642.56 : x
  2. Step 2: Convert to fraction form
    701.39/966.75 = 642.56/x
  3. Step 3: Cross multiply
    701.39x = 966.75 × 642.56
  4. Step 4: Simplify right side
    701.39x = 621,194.88
  5. Step 5: Solve for x
    x = 621,194.88/701.39
  6. Step 6: Final answer
    x = 885.67

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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.