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Finding the Fourth Proportional to 879.81, 1,214.31 and 506.80

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Solution

The fourth proportional to 879.81, 1,214.31 and 506.80 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.81 : 1,214.31 = 506.80 : x
  2. Step 2: Convert to fraction form
    879.81/1,214.31 = 506.80/x
  3. Step 3: Cross multiply
    879.81x = 1,214.31 × 506.80
  4. Step 4: Simplify right side
    879.81x = 615,412.31
  5. Step 5: Solve for x
    x = 615,412.31/879.81
  6. Step 6: Final answer
    x = 699.48

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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.