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Finding the Fourth Proportional to 1,465.35, 2,198.31 and 540.87

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Solution

The fourth proportional to 1,465.35, 2,198.31 and 540.87 is: 811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.35 : 2,198.31 = 540.87 : x
  2. Step 2: Convert to fraction form
    1,465.35/2,198.31 = 540.87/x
  3. Step 3: Cross multiply
    1,465.35x = 2,198.31 × 540.87
  4. Step 4: Simplify right side
    1,465.35x = 1,188,999.93
  5. Step 5: Solve for x
    x = 1,188,999.93/1,465.35
  6. Step 6: Final answer
    x = 811.41

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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.