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Finding the Fourth Proportional to 1,101.69, 1,520.36 and 681.92

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Solution

The fourth proportional to 1,101.69, 1,520.36 and 681.92 is: 941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.69 : 1,520.36 = 681.92 : x
  2. Step 2: Convert to fraction form
    1,101.69/1,520.36 = 681.92/x
  3. Step 3: Cross multiply
    1,101.69x = 1,520.36 × 681.92
  4. Step 4: Simplify right side
    1,101.69x = 1,036,752.88
  5. Step 5: Solve for x
    x = 1,036,752.88/1,101.69
  6. Step 6: Final answer
    x = 941.06

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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.