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Finding the Fourth Proportional to 716.45, 989.78 and 682.70

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Solution

The fourth proportional to 716.45, 989.78 and 682.70 is: 943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.45 : 989.78 = 682.70 : x
  2. Step 2: Convert to fraction form
    716.45/989.78 = 682.70/x
  3. Step 3: Cross multiply
    716.45x = 989.78 × 682.70
  4. Step 4: Simplify right side
    716.45x = 675,721.87
  5. Step 5: Solve for x
    x = 675,721.87/716.45
  6. Step 6: Final answer
    x = 943.15

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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.