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Finding the Fourth Proportional to 914.01, 1,371.47 and 427.10

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Solution

The fourth proportional to 914.01, 1,371.47 and 427.10 is: 640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.01 : 1,371.47 = 427.10 : x
  2. Step 2: Convert to fraction form
    914.01/1,371.47 = 427.10/x
  3. Step 3: Cross multiply
    914.01x = 1,371.47 × 427.10
  4. Step 4: Simplify right side
    914.01x = 585,745.84
  5. Step 5: Solve for x
    x = 585,745.84/914.01
  6. Step 6: Final answer
    x = 640.85

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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.