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Finding the Fourth Proportional to 830.77, 1,247.56 and 797.66

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Solution

The fourth proportional to 830.77, 1,247.56 and 797.66 is: 1,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.77 : 1,247.56 = 797.66 : x
  2. Step 2: Convert to fraction form
    830.77/1,247.56 = 797.66/x
  3. Step 3: Cross multiply
    830.77x = 1,247.56 × 797.66
  4. Step 4: Simplify right side
    830.77x = 995,128.71
  5. Step 5: Solve for x
    x = 995,128.71/830.77
  6. Step 6: Final answer
    x = 1,197.84

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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.