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Finding the Fourth Proportional to 681.40, 1,014.39 and 677.35

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Solution

The fourth proportional to 681.40, 1,014.39 and 677.35 is: 1,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.40 : 1,014.39 = 677.35 : x
  2. Step 2: Convert to fraction form
    681.40/1,014.39 = 677.35/x
  3. Step 3: Cross multiply
    681.40x = 1,014.39 × 677.35
  4. Step 4: Simplify right side
    681.40x = 687,097.07
  5. Step 5: Solve for x
    x = 687,097.07/681.40
  6. Step 6: Final answer
    x = 1,008.36

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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.