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Finding the Fourth Proportional to 783.42, 1,067.64 and 780.54

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Solution

The fourth proportional to 783.42, 1,067.64 and 780.54 is: 1,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 1,067.64 = 780.54 : x
  2. Step 2: Convert to fraction form
    783.42/1,067.64 = 780.54/x
  3. Step 3: Cross multiply
    783.42x = 1,067.64 × 780.54
  4. Step 4: Simplify right side
    783.42x = 833,335.73
  5. Step 5: Solve for x
    x = 833,335.73/783.42
  6. Step 6: Final answer
    x = 1,063.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.