Home / 1,415.26-2,122.50-537.74

Finding the Fourth Proportional to 1,415.26, 2,122.50 and 537.74

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Solution

The fourth proportional to 1,415.26, 2,122.50 and 537.74 is: 806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.26 : 2,122.50 = 537.74 : x
  2. Step 2: Convert to fraction form
    1,415.26/2,122.50 = 537.74/x
  3. Step 3: Cross multiply
    1,415.26x = 2,122.50 × 537.74
  4. Step 4: Simplify right side
    1,415.26x = 1,141,342.54
  5. Step 5: Solve for x
    x = 1,141,342.54/1,415.26
  6. Step 6: Final answer
    x = 806.46

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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.