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Finding the Fourth Proportional to 1,113.97, 1,670.01 and 681.43

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Solution

The fourth proportional to 1,113.97, 1,670.01 and 681.43 is: 1,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.97 : 1,670.01 = 681.43 : x
  2. Step 2: Convert to fraction form
    1,113.97/1,670.01 = 681.43/x
  3. Step 3: Cross multiply
    1,113.97x = 1,670.01 × 681.43
  4. Step 4: Simplify right side
    1,113.97x = 1,137,994.91
  5. Step 5: Solve for x
    x = 1,137,994.91/1,113.97
  6. Step 6: Final answer
    x = 1,021.57

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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.