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Finding the Fourth Proportional to 914.74, 1,370.37 and 451.83

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Solution

The fourth proportional to 914.74, 1,370.37 and 451.83 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.74 : 1,370.37 = 451.83 : x
  2. Step 2: Convert to fraction form
    914.74/1,370.37 = 451.83/x
  3. Step 3: Cross multiply
    914.74x = 1,370.37 × 451.83
  4. Step 4: Simplify right side
    914.74x = 619,170.86
  5. Step 5: Solve for x
    x = 619,170.86/914.74
  6. Step 6: Final answer
    x = 676.88

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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.