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Finding the Fourth Proportional to 1,083.70, 1,493.13 and 896.19

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Solution

The fourth proportional to 1,083.70, 1,493.13 and 896.19 is: 1,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.70 : 1,493.13 = 896.19 : x
  2. Step 2: Convert to fraction form
    1,083.70/1,493.13 = 896.19/x
  3. Step 3: Cross multiply
    1,083.70x = 1,493.13 × 896.19
  4. Step 4: Simplify right side
    1,083.70x = 1,338,128.17
  5. Step 5: Solve for x
    x = 1,338,128.17/1,083.70
  6. Step 6: Final answer
    x = 1,234.78

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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.