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Finding the Fourth Proportional to 773.52, 1,067.48 and 493.76

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Solution

The fourth proportional to 773.52, 1,067.48 and 493.76 is: 681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,067.48 = 493.76 : x
  2. Step 2: Convert to fraction form
    773.52/1,067.48 = 493.76/x
  3. Step 3: Cross multiply
    773.52x = 1,067.48 × 493.76
  4. Step 4: Simplify right side
    773.52x = 527,078.92
  5. Step 5: Solve for x
    x = 527,078.92/773.52
  6. Step 6: Final answer
    x = 681.40

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1.5x scale

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.