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Finding the Fourth Proportional to 1,083.13, 1,495.40 and 833.98

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Solution

The fourth proportional to 1,083.13, 1,495.40 and 833.98 is: 1,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.13 : 1,495.40 = 833.98 : x
  2. Step 2: Convert to fraction form
    1,083.13/1,495.40 = 833.98/x
  3. Step 3: Cross multiply
    1,083.13x = 1,495.40 × 833.98
  4. Step 4: Simplify right side
    1,083.13x = 1,247,122.05
  5. Step 5: Solve for x
    x = 1,247,122.05/1,083.13
  6. Step 6: Final answer
    x = 1,151.41

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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.