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Finding the Fourth Proportional to 994.29, 1,493.85 and 877.65

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Solution

The fourth proportional to 994.29, 1,493.85 and 877.65 is: 1,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.29 : 1,493.85 = 877.65 : x
  2. Step 2: Convert to fraction form
    994.29/1,493.85 = 877.65/x
  3. Step 3: Cross multiply
    994.29x = 1,493.85 × 877.65
  4. Step 4: Simplify right side
    994.29x = 1,311,077.45
  5. Step 5: Solve for x
    x = 1,311,077.45/994.29
  6. Step 6: Final answer
    x = 1,318.61

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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.