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Finding the Fourth Proportional to 693.87, 962.49 and 656.97

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Solution

The fourth proportional to 693.87, 962.49 and 656.97 is: 911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.87 : 962.49 = 656.97 : x
  2. Step 2: Convert to fraction form
    693.87/962.49 = 656.97/x
  3. Step 3: Cross multiply
    693.87x = 962.49 × 656.97
  4. Step 4: Simplify right side
    693.87x = 632,327.06
  5. Step 5: Solve for x
    x = 632,327.06/693.87
  6. Step 6: Final answer
    x = 911.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.