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Finding the Fourth Proportional to 914.33, 1,371.13 and 297.94

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Solution

The fourth proportional to 914.33, 1,371.13 and 297.94 is: 446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.33 : 1,371.13 = 297.94 : x
  2. Step 2: Convert to fraction form
    914.33/1,371.13 = 297.94/x
  3. Step 3: Cross multiply
    914.33x = 1,371.13 × 297.94
  4. Step 4: Simplify right side
    914.33x = 408,514.47
  5. Step 5: Solve for x
    x = 408,514.47/914.33
  6. Step 6: Final answer
    x = 446.79

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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.