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Finding the Fourth Proportional to 991.15, 1,366.49 and 617.48

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Solution

The fourth proportional to 991.15, 1,366.49 and 617.48 is: 851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.15 : 1,366.49 = 617.48 : x
  2. Step 2: Convert to fraction form
    991.15/1,366.49 = 617.48/x
  3. Step 3: Cross multiply
    991.15x = 1,366.49 × 617.48
  4. Step 4: Simplify right side
    991.15x = 843,780.25
  5. Step 5: Solve for x
    x = 843,780.25/991.15
  6. Step 6: Final answer
    x = 851.31

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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.