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Finding the Fourth Proportional to 828.80, 1,146.57 and 681.14

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Solution

The fourth proportional to 828.80, 1,146.57 and 681.14 is: 942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.80 : 1,146.57 = 681.14 : x
  2. Step 2: Convert to fraction form
    828.80/1,146.57 = 681.14/x
  3. Step 3: Cross multiply
    828.80x = 1,146.57 × 681.14
  4. Step 4: Simplify right side
    828.80x = 780,974.69
  5. Step 5: Solve for x
    x = 780,974.69/828.80
  6. Step 6: Final answer
    x = 942.30

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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.