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Finding the Fourth Proportional to 792.01, 1,178.84 and 770.14

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Solution

The fourth proportional to 792.01, 1,178.84 and 770.14 is: 1,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.01 : 1,178.84 = 770.14 : x
  2. Step 2: Convert to fraction form
    792.01/1,178.84 = 770.14/x
  3. Step 3: Cross multiply
    792.01x = 1,178.84 × 770.14
  4. Step 4: Simplify right side
    792.01x = 907,870.90
  5. Step 5: Solve for x
    x = 907,870.90/792.01
  6. Step 6: Final answer
    x = 1,146.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.