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Finding the Fourth Proportional to 792.85, 1,100.11 and 770.17

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Solution

The fourth proportional to 792.85, 1,100.11 and 770.17 is: 1,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.85 : 1,100.11 = 770.17 : x
  2. Step 2: Convert to fraction form
    792.85/1,100.11 = 770.17/x
  3. Step 3: Cross multiply
    792.85x = 1,100.11 × 770.17
  4. Step 4: Simplify right side
    792.85x = 847,271.72
  5. Step 5: Solve for x
    x = 847,271.72/792.85
  6. Step 6: Final answer
    x = 1,068.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.