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Finding the Fourth Proportional to 773.38, 1,066.68 and 563.32

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Solution

The fourth proportional to 773.38, 1,066.68 and 563.32 is: 776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.38 : 1,066.68 = 563.32 : x
  2. Step 2: Convert to fraction form
    773.38/1,066.68 = 563.32/x
  3. Step 3: Cross multiply
    773.38x = 1,066.68 × 563.32
  4. Step 4: Simplify right side
    773.38x = 600,882.18
  5. Step 5: Solve for x
    x = 600,882.18/773.38
  6. Step 6: Final answer
    x = 776.96

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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.