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Finding the Fourth Proportional to 879.09, 1,212.60 and 524.78

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Solution

The fourth proportional to 879.09, 1,212.60 and 524.78 is: 723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.09 : 1,212.60 = 524.78 : x
  2. Step 2: Convert to fraction form
    879.09/1,212.60 = 524.78/x
  3. Step 3: Cross multiply
    879.09x = 1,212.60 × 524.78
  4. Step 4: Simplify right side
    879.09x = 636,342.17
  5. Step 5: Solve for x
    x = 636,342.17/879.09
  6. Step 6: Final answer
    x = 723.86

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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.