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Finding the Fourth Proportional to 617.18, 926.44 and 412.18

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Solution

The fourth proportional to 617.18, 926.44 and 412.18 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.18 : 926.44 = 412.18 : x
  2. Step 2: Convert to fraction form
    617.18/926.44 = 412.18/x
  3. Step 3: Cross multiply
    617.18x = 926.44 × 412.18
  4. Step 4: Simplify right side
    617.18x = 381,856.69
  5. Step 5: Solve for x
    x = 381,856.69/617.18
  6. Step 6: Final answer
    x = 618.72

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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.