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Finding the Fourth Proportional to 1,462.31, 2,017.95 and 799.15

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Solution

The fourth proportional to 1,462.31, 2,017.95 and 799.15 is: 1,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.31 : 2,017.95 = 799.15 : x
  2. Step 2: Convert to fraction form
    1,462.31/2,017.95 = 799.15/x
  3. Step 3: Cross multiply
    1,462.31x = 2,017.95 × 799.15
  4. Step 4: Simplify right side
    1,462.31x = 1,612,647.26
  5. Step 5: Solve for x
    x = 1,612,647.26/1,462.31
  6. Step 6: Final answer
    x = 1,102.81

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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.