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Finding the Fourth Proportional to 1,241.38, 1,869.26 and 897.06

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Solution

The fourth proportional to 1,241.38, 1,869.26 and 897.06 is: 1,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.38 : 1,869.26 = 897.06 : x
  2. Step 2: Convert to fraction form
    1,241.38/1,869.26 = 897.06/x
  3. Step 3: Cross multiply
    1,241.38x = 1,869.26 × 897.06
  4. Step 4: Simplify right side
    1,241.38x = 1,676,838.38
  5. Step 5: Solve for x
    x = 1,676,838.38/1,241.38
  6. Step 6: Final answer
    x = 1,350.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.