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Finding the Fourth Proportional to 774.05, 1,158.89 and 701.06

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Solution

The fourth proportional to 774.05, 1,158.89 and 701.06 is: 1,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.05 : 1,158.89 = 701.06 : x
  2. Step 2: Convert to fraction form
    774.05/1,158.89 = 701.06/x
  3. Step 3: Cross multiply
    774.05x = 1,158.89 × 701.06
  4. Step 4: Simplify right side
    774.05x = 812,447.92
  5. Step 5: Solve for x
    x = 812,447.92/774.05
  6. Step 6: Final answer
    x = 1,049.61

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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.