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Finding the Fourth Proportional to 1,415.44, 2,122.82 and 538.04

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Solution

The fourth proportional to 1,415.44, 2,122.82 and 538.04 is: 806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.44 : 2,122.82 = 538.04 : x
  2. Step 2: Convert to fraction form
    1,415.44/2,122.82 = 538.04/x
  3. Step 3: Cross multiply
    1,415.44x = 2,122.82 × 538.04
  4. Step 4: Simplify right side
    1,415.44x = 1,142,162.07
  5. Step 5: Solve for x
    x = 1,142,162.07/1,415.44
  6. Step 6: Final answer
    x = 806.93

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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.