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Finding the Fourth Proportional to 776.73, 1,071.31 and 567.61

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Solution

The fourth proportional to 776.73, 1,071.31 and 567.61 is: 782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.73 : 1,071.31 = 567.61 : x
  2. Step 2: Convert to fraction form
    776.73/1,071.31 = 567.61/x
  3. Step 3: Cross multiply
    776.73x = 1,071.31 × 567.61
  4. Step 4: Simplify right side
    776.73x = 608,086.27
  5. Step 5: Solve for x
    x = 608,086.27/776.73
  6. Step 6: Final answer
    x = 782.88

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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.