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Finding the Fourth Proportional to 797.66, 1,196.88 and 534.29

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Solution

The fourth proportional to 797.66, 1,196.88 and 534.29 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.66 : 1,196.88 = 534.29 : x
  2. Step 2: Convert to fraction form
    797.66/1,196.88 = 534.29/x
  3. Step 3: Cross multiply
    797.66x = 1,196.88 × 534.29
  4. Step 4: Simplify right side
    797.66x = 639,481.02
  5. Step 5: Solve for x
    x = 639,481.02/797.66
  6. Step 6: Final answer
    x = 801.70

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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.