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Finding the Fourth Proportional to 914, 1,371.12 and 401.12

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Solution

The fourth proportional to 914, 1,371.12 and 401.12 is: 601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,371.12 = 401.12 : x
  2. Step 2: Convert to fraction form
    914/1,371.12 = 401.12/x
  3. Step 3: Cross multiply
    914x = 1,371.12 × 401.12
  4. Step 4: Simplify right side
    914x = 549,983.65
  5. Step 5: Solve for x
    x = 549,983.65/914
  6. Step 6: Final answer
    x = 601.73

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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.