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Finding the Fourth Proportional to 1,743.69, 2,406.40 and 997.73

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Solution

The fourth proportional to 1,743.69, 2,406.40 and 997.73 is: 1,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.69 : 2,406.40 = 997.73 : x
  2. Step 2: Convert to fraction form
    1,743.69/2,406.40 = 997.73/x
  3. Step 3: Cross multiply
    1,743.69x = 2,406.40 × 997.73
  4. Step 4: Simplify right side
    1,743.69x = 2,400,937.47
  5. Step 5: Solve for x
    x = 2,400,937.47/1,743.69
  6. Step 6: Final answer
    x = 1,376.93

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1.5x scale

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.