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Finding the Fourth Proportional to 1,342.89, 1,850.97 and 900.63

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Solution

The fourth proportional to 1,342.89, 1,850.97 and 900.63 is: 1,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.89 : 1,850.97 = 900.63 : x
  2. Step 2: Convert to fraction form
    1,342.89/1,850.97 = 900.63/x
  3. Step 3: Cross multiply
    1,342.89x = 1,850.97 × 900.63
  4. Step 4: Simplify right side
    1,342.89x = 1,667,039.11
  5. Step 5: Solve for x
    x = 1,667,039.11/1,342.89
  6. Step 6: Final answer
    x = 1,241.38

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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.