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Finding the Fourth Proportional to 1,399.25, 2,098.92 and 577.59

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Solution

The fourth proportional to 1,399.25, 2,098.92 and 577.59 is: 866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.25 : 2,098.92 = 577.59 : x
  2. Step 2: Convert to fraction form
    1,399.25/2,098.92 = 577.59/x
  3. Step 3: Cross multiply
    1,399.25x = 2,098.92 × 577.59
  4. Step 4: Simplify right side
    1,399.25x = 1,212,315.20
  5. Step 5: Solve for x
    x = 1,212,315.20/1,399.25
  6. Step 6: Final answer
    x = 866.40

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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.