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Finding the Fourth Proportional to 1,035.37, 1,428.33 and 813.97

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Solution

The fourth proportional to 1,035.37, 1,428.33 and 813.97 is: 1,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.37 : 1,428.33 = 813.97 : x
  2. Step 2: Convert to fraction form
    1,035.37/1,428.33 = 813.97/x
  3. Step 3: Cross multiply
    1,035.37x = 1,428.33 × 813.97
  4. Step 4: Simplify right side
    1,035.37x = 1,162,617.77
  5. Step 5: Solve for x
    x = 1,162,617.77/1,035.37
  6. Step 6: Final answer
    x = 1,122.90

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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.