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Finding the Fourth Proportional to 773.11, 1,066.37 and 477.87

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Solution

The fourth proportional to 773.11, 1,066.37 and 477.87 is: 659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.11 : 1,066.37 = 477.87 : x
  2. Step 2: Convert to fraction form
    773.11/1,066.37 = 477.87/x
  3. Step 3: Cross multiply
    773.11x = 1,066.37 × 477.87
  4. Step 4: Simplify right side
    773.11x = 509,579.84
  5. Step 5: Solve for x
    x = 509,579.84/773.11
  6. Step 6: Final answer
    x = 659.13

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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.