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Finding the Fourth Proportional to 914.41, 1,370.55 and 394.09

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Solution

The fourth proportional to 914.41, 1,370.55 and 394.09 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.41 : 1,370.55 = 394.09 : x
  2. Step 2: Convert to fraction form
    914.41/1,370.55 = 394.09/x
  3. Step 3: Cross multiply
    914.41x = 1,370.55 × 394.09
  4. Step 4: Simplify right side
    914.41x = 540,120.05
  5. Step 5: Solve for x
    x = 540,120.05/914.41
  6. Step 6: Final answer
    x = 590.68

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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.