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Finding the Fourth Proportional to 773.35, 1,066.67 and 511.72

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Solution

The fourth proportional to 773.35, 1,066.67 and 511.72 is: 705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.35 : 1,066.67 = 511.72 : x
  2. Step 2: Convert to fraction form
    773.35/1,066.67 = 511.72/x
  3. Step 3: Cross multiply
    773.35x = 1,066.67 × 511.72
  4. Step 4: Simplify right side
    773.35x = 545,833.07
  5. Step 5: Solve for x
    x = 545,833.07/773.35
  6. Step 6: Final answer
    x = 705.81

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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.