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Finding the Fourth Proportional to 1,343.42, 1,853.88 and 753.97

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Solution

The fourth proportional to 1,343.42, 1,853.88 and 753.97 is: 1,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.42 : 1,853.88 = 753.97 : x
  2. Step 2: Convert to fraction form
    1,343.42/1,853.88 = 753.97/x
  3. Step 3: Cross multiply
    1,343.42x = 1,853.88 × 753.97
  4. Step 4: Simplify right side
    1,343.42x = 1,397,760.63
  5. Step 5: Solve for x
    x = 1,397,760.63/1,343.42
  6. Step 6: Final answer
    x = 1,040.45

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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.