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Finding the Fourth Proportional to 611.97, 842.47 and 537.13

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Solution

The fourth proportional to 611.97, 842.47 and 537.13 is: 739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.97 : 842.47 = 537.13 : x
  2. Step 2: Convert to fraction form
    611.97/842.47 = 537.13/x
  3. Step 3: Cross multiply
    611.97x = 842.47 × 537.13
  4. Step 4: Simplify right side
    611.97x = 452,515.91
  5. Step 5: Solve for x
    x = 452,515.91/611.97
  6. Step 6: Final answer
    x = 739.44

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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.