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Finding the Fourth Proportional to 1,092.04, 1,634.10 and 681.40

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Solution

The fourth proportional to 1,092.04, 1,634.10 and 681.40 is: 1,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.04 : 1,634.10 = 681.40 : x
  2. Step 2: Convert to fraction form
    1,092.04/1,634.10 = 681.40/x
  3. Step 3: Cross multiply
    1,092.04x = 1,634.10 × 681.40
  4. Step 4: Simplify right side
    1,092.04x = 1,113,475.74
  5. Step 5: Solve for x
    x = 1,113,475.74/1,092.04
  6. Step 6: Final answer
    x = 1,019.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.