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Finding the Fourth Proportional to 1,104.37, 1,655.07 and 896.61

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Solution

The fourth proportional to 1,104.37, 1,655.07 and 896.61 is: 1,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.37 : 1,655.07 = 896.61 : x
  2. Step 2: Convert to fraction form
    1,104.37/1,655.07 = 896.61/x
  3. Step 3: Cross multiply
    1,104.37x = 1,655.07 × 896.61
  4. Step 4: Simplify right side
    1,104.37x = 1,483,952.31
  5. Step 5: Solve for x
    x = 1,483,952.31/1,104.37
  6. Step 6: Final answer
    x = 1,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.