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Finding the Fourth Proportional to 797.32, 1,193.82 and 761.80

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Solution

The fourth proportional to 797.32, 1,193.82 and 761.80 is: 1,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.32 : 1,193.82 = 761.80 : x
  2. Step 2: Convert to fraction form
    797.32/1,193.82 = 761.80/x
  3. Step 3: Cross multiply
    797.32x = 1,193.82 × 761.80
  4. Step 4: Simplify right side
    797.32x = 909,452.08
  5. Step 5: Solve for x
    x = 909,452.08/797.32
  6. Step 6: Final answer
    x = 1,140.64

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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.