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Finding the Fourth Proportional to 1,143.74, 1,715.34 and 681.65

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Solution

The fourth proportional to 1,143.74, 1,715.34 and 681.65 is: 1,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.74 : 1,715.34 = 681.65 : x
  2. Step 2: Convert to fraction form
    1,143.74/1,715.34 = 681.65/x
  3. Step 3: Cross multiply
    1,143.74x = 1,715.34 × 681.65
  4. Step 4: Simplify right side
    1,143.74x = 1,169,252.93
  5. Step 5: Solve for x
    x = 1,169,252.93/1,143.74
  6. Step 6: Final answer
    x = 1,022.31

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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.