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Finding the Fourth Proportional to 1,343.85, 1,854.42 and 901.68

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Solution

The fourth proportional to 1,343.85, 1,854.42 and 901.68 is: 1,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.85 : 1,854.42 = 901.68 : x
  2. Step 2: Convert to fraction form
    1,343.85/1,854.42 = 901.68/x
  3. Step 3: Cross multiply
    1,343.85x = 1,854.42 × 901.68
  4. Step 4: Simplify right side
    1,343.85x = 1,672,093.43
  5. Step 5: Solve for x
    x = 1,672,093.43/1,343.85
  6. Step 6: Final answer
    x = 1,244.26

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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.