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Finding the Fourth Proportional to 790.24, 1,186.72 and 755.62

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Solution

The fourth proportional to 790.24, 1,186.72 and 755.62 is: 1,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.24 : 1,186.72 = 755.62 : x
  2. Step 2: Convert to fraction form
    790.24/1,186.72 = 755.62/x
  3. Step 3: Cross multiply
    790.24x = 1,186.72 × 755.62
  4. Step 4: Simplify right side
    790.24x = 896,709.37
  5. Step 5: Solve for x
    x = 896,709.37/790.24
  6. Step 6: Final answer
    x = 1,134.73

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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.