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Finding the Fourth Proportional to 798.34, 1,102.26 and 611.50

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Solution

The fourth proportional to 798.34, 1,102.26 and 611.50 is: 844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.34 : 1,102.26 = 611.50 : x
  2. Step 2: Convert to fraction form
    798.34/1,102.26 = 611.50/x
  3. Step 3: Cross multiply
    798.34x = 1,102.26 × 611.50
  4. Step 4: Simplify right side
    798.34x = 674,028.93
  5. Step 5: Solve for x
    x = 674,028.93/798.34
  6. Step 6: Final answer
    x = 844.29

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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.