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Finding the Fourth Proportional to 879.61, 1,213.97 and 506.69

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Solution

The fourth proportional to 879.61, 1,213.97 and 506.69 is: 699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.61 : 1,213.97 = 506.69 : x
  2. Step 2: Convert to fraction form
    879.61/1,213.97 = 506.69/x
  3. Step 3: Cross multiply
    879.61x = 1,213.97 × 506.69
  4. Step 4: Simplify right side
    879.61x = 615,106.46
  5. Step 5: Solve for x
    x = 615,106.46/879.61
  6. Step 6: Final answer
    x = 699.29

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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.