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Finding the Fourth Proportional to 1,308.73, 1,963.60 and 577.79

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Solution

The fourth proportional to 1,308.73, 1,963.60 and 577.79 is: 866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.73 : 1,963.60 = 577.79 : x
  2. Step 2: Convert to fraction form
    1,308.73/1,963.60 = 577.79/x
  3. Step 3: Cross multiply
    1,308.73x = 1,963.60 × 577.79
  4. Step 4: Simplify right side
    1,308.73x = 1,134,548.44
  5. Step 5: Solve for x
    x = 1,134,548.44/1,308.73
  6. Step 6: Final answer
    x = 866.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.