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Finding the Fourth Proportional to 773.60, 1,066.10 and 633.06

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Solution

The fourth proportional to 773.60, 1,066.10 and 633.06 is: 872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,066.10 = 633.06 : x
  2. Step 2: Convert to fraction form
    773.60/1,066.10 = 633.06/x
  3. Step 3: Cross multiply
    773.60x = 1,066.10 × 633.06
  4. Step 4: Simplify right side
    773.60x = 674,902.10
  5. Step 5: Solve for x
    x = 674,902.10/773.60
  6. Step 6: Final answer
    x = 872.42

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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.