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Finding the Fourth Proportional to 914.91, 1,371.70 and 427.69

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Solution

The fourth proportional to 914.91, 1,371.70 and 427.69 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.91 : 1,371.70 = 427.69 : x
  2. Step 2: Convert to fraction form
    914.91/1,371.70 = 427.69/x
  3. Step 3: Cross multiply
    914.91x = 1,371.70 × 427.69
  4. Step 4: Simplify right side
    914.91x = 586,662.37
  5. Step 5: Solve for x
    x = 586,662.37/914.91
  6. Step 6: Final answer
    x = 641.22

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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.