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Finding the Fourth Proportional to 797.74, 1,196.40 and 537.59

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Solution

The fourth proportional to 797.74, 1,196.40 and 537.59 is: 806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.74 : 1,196.40 = 537.59 : x
  2. Step 2: Convert to fraction form
    797.74/1,196.40 = 537.59/x
  3. Step 3: Cross multiply
    797.74x = 1,196.40 × 537.59
  4. Step 4: Simplify right side
    797.74x = 643,172.68
  5. Step 5: Solve for x
    x = 643,172.68/797.74
  6. Step 6: Final answer
    x = 806.24

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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.