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Finding the Fourth Proportional to 1,115.85, 1,673.78 and 937.65

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Solution

The fourth proportional to 1,115.85, 1,673.78 and 937.65 is: 1,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.85 : 1,673.78 = 937.65 : x
  2. Step 2: Convert to fraction form
    1,115.85/1,673.78 = 937.65/x
  3. Step 3: Cross multiply
    1,115.85x = 1,673.78 × 937.65
  4. Step 4: Simplify right side
    1,115.85x = 1,569,415.13
  5. Step 5: Solve for x
    x = 1,569,415.13/1,115.85
  6. Step 6: Final answer
    x = 1,406.48

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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.