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Finding the Fourth Proportional to 1,174.39, 1,756.29 and 896.83

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Solution

The fourth proportional to 1,174.39, 1,756.29 and 896.83 is: 1,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.39 : 1,756.29 = 896.83 : x
  2. Step 2: Convert to fraction form
    1,174.39/1,756.29 = 896.83/x
  3. Step 3: Cross multiply
    1,174.39x = 1,756.29 × 896.83
  4. Step 4: Simplify right side
    1,174.39x = 1,575,093.56
  5. Step 5: Solve for x
    x = 1,575,093.56/1,174.39
  6. Step 6: Final answer
    x = 1,341.20

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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.