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Finding the Fourth Proportional to 905.84, 1,249.55 and 590.66

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Solution

The fourth proportional to 905.84, 1,249.55 and 590.66 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,249.55 = 590.66 : x
  2. Step 2: Convert to fraction form
    905.84/1,249.55 = 590.66/x
  3. Step 3: Cross multiply
    905.84x = 1,249.55 × 590.66
  4. Step 4: Simplify right side
    905.84x = 738,052.96
  5. Step 5: Solve for x
    x = 738,052.96/905.84
  6. Step 6: Final answer
    x = 814.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.