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Finding the Fourth Proportional to 816.96, 1,127.68 and 506.56

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Solution

The fourth proportional to 816.96, 1,127.68 and 506.56 is: 699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.96 : 1,127.68 = 506.56 : x
  2. Step 2: Convert to fraction form
    816.96/1,127.68 = 506.56/x
  3. Step 3: Cross multiply
    816.96x = 1,127.68 × 506.56
  4. Step 4: Simplify right side
    816.96x = 571,237.58
  5. Step 5: Solve for x
    x = 571,237.58/816.96
  6. Step 6: Final answer
    x = 699.22

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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.