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Finding the Fourth Proportional to 1,035.91, 1,428.38 and 755.65

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Solution

The fourth proportional to 1,035.91, 1,428.38 and 755.65 is: 1,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.91 : 1,428.38 = 755.65 : x
  2. Step 2: Convert to fraction form
    1,035.91/1,428.38 = 755.65/x
  3. Step 3: Cross multiply
    1,035.91x = 1,428.38 × 755.65
  4. Step 4: Simplify right side
    1,035.91x = 1,079,355.35
  5. Step 5: Solve for x
    x = 1,079,355.35/1,035.91
  6. Step 6: Final answer
    x = 1,041.94

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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.