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Finding the Fourth Proportional to 701.14, 1,047.29 and 681.70

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Solution

The fourth proportional to 701.14, 1,047.29 and 681.70 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.14 : 1,047.29 = 681.70 : x
  2. Step 2: Convert to fraction form
    701.14/1,047.29 = 681.70/x
  3. Step 3: Cross multiply
    701.14x = 1,047.29 × 681.70
  4. Step 4: Simplify right side
    701.14x = 713,932.84
  5. Step 5: Solve for x
    x = 713,932.84/701.14
  6. Step 6: Final answer
    x = 1,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.