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Finding the Fourth Proportional to 798.51, 1,195.49 and 616.26

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Solution

The fourth proportional to 798.51, 1,195.49 and 616.26 is: 922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.51 : 1,195.49 = 616.26 : x
  2. Step 2: Convert to fraction form
    798.51/1,195.49 = 616.26/x
  3. Step 3: Cross multiply
    798.51x = 1,195.49 × 616.26
  4. Step 4: Simplify right side
    798.51x = 736,729.59
  5. Step 5: Solve for x
    x = 736,729.59/798.51
  6. Step 6: Final answer
    x = 922.63

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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.