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Finding the Fourth Proportional to 773.29, 1,066.82 and 563.01

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Solution

The fourth proportional to 773.29, 1,066.82 and 563.01 is: 776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.29 : 1,066.82 = 563.01 : x
  2. Step 2: Convert to fraction form
    773.29/1,066.82 = 563.01/x
  3. Step 3: Cross multiply
    773.29x = 1,066.82 × 563.01
  4. Step 4: Simplify right side
    773.29x = 600,630.33
  5. Step 5: Solve for x
    x = 600,630.33/773.29
  6. Step 6: Final answer
    x = 776.72

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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.