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Finding the Fourth Proportional to 773.36, 1,068.17 and 563.21

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Solution

The fourth proportional to 773.36, 1,068.17 and 563.21 is: 777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.36 : 1,068.17 = 563.21 : x
  2. Step 2: Convert to fraction form
    773.36/1,068.17 = 563.21/x
  3. Step 3: Cross multiply
    773.36x = 1,068.17 × 563.21
  4. Step 4: Simplify right side
    773.36x = 601,595.87
  5. Step 5: Solve for x
    x = 601,595.87/773.36
  6. Step 6: Final answer
    x = 777.90

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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.