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Finding the Fourth Proportional to 879.10, 1,212.72 and 816.58

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Solution

The fourth proportional to 879.10, 1,212.72 and 816.58 is: 1,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.10 : 1,212.72 = 816.58 : x
  2. Step 2: Convert to fraction form
    879.10/1,212.72 = 816.58/x
  3. Step 3: Cross multiply
    879.10x = 1,212.72 × 816.58
  4. Step 4: Simplify right side
    879.10x = 990,282.90
  5. Step 5: Solve for x
    x = 990,282.90/879.10
  6. Step 6: Final answer
    x = 1,126.47

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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.