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Finding the Fourth Proportional to 1,114.57, 1,535.99 and 799.29

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Solution

The fourth proportional to 1,114.57, 1,535.99 and 799.29 is: 1,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.57 : 1,535.99 = 799.29 : x
  2. Step 2: Convert to fraction form
    1,114.57/1,535.99 = 799.29/x
  3. Step 3: Cross multiply
    1,114.57x = 1,535.99 × 799.29
  4. Step 4: Simplify right side
    1,114.57x = 1,227,693.25
  5. Step 5: Solve for x
    x = 1,227,693.25/1,114.57
  6. Step 6: Final answer
    x = 1,101.50

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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.