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Finding the Fourth Proportional to 914.53, 1,371.83 and 427.45

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Solution

The fourth proportional to 914.53, 1,371.83 and 427.45 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.53 : 1,371.83 = 427.45 : x
  2. Step 2: Convert to fraction form
    914.53/1,371.83 = 427.45/x
  3. Step 3: Cross multiply
    914.53x = 1,371.83 × 427.45
  4. Step 4: Simplify right side
    914.53x = 586,394.49
  5. Step 5: Solve for x
    x = 586,394.49/914.53
  6. Step 6: Final answer
    x = 641.20

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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.