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Finding the Fourth Proportional to 890.70, 1,327.14 and 793.70

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Solution

The fourth proportional to 890.70, 1,327.14 and 793.70 is: 1,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.70 : 1,327.14 = 793.70 : x
  2. Step 2: Convert to fraction form
    890.70/1,327.14 = 793.70/x
  3. Step 3: Cross multiply
    890.70x = 1,327.14 × 793.70
  4. Step 4: Simplify right side
    890.70x = 1,053,351.02
  5. Step 5: Solve for x
    x = 1,053,351.02/890.70
  6. Step 6: Final answer
    x = 1,182.61

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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.