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Finding the Fourth Proportional to 879.45, 1,318.71 and 410.83

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Solution

The fourth proportional to 879.45, 1,318.71 and 410.83 is: 616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.45 : 1,318.71 = 410.83 : x
  2. Step 2: Convert to fraction form
    879.45/1,318.71 = 410.83/x
  3. Step 3: Cross multiply
    879.45x = 1,318.71 × 410.83
  4. Step 4: Simplify right side
    879.45x = 541,765.63
  5. Step 5: Solve for x
    x = 541,765.63/879.45
  6. Step 6: Final answer
    x = 616.03

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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.