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Finding the Fourth Proportional to 772.86, 1,066.54 and 418.78

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Solution

The fourth proportional to 772.86, 1,066.54 and 418.78 is: 577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.86 : 1,066.54 = 418.78 : x
  2. Step 2: Convert to fraction form
    772.86/1,066.54 = 418.78/x
  3. Step 3: Cross multiply
    772.86x = 1,066.54 × 418.78
  4. Step 4: Simplify right side
    772.86x = 446,645.62
  5. Step 5: Solve for x
    x = 446,645.62/772.86
  6. Step 6: Final answer
    x = 577.91

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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.