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Finding the Fourth Proportional to 412.70, 617.70 and 291.20

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Solution

The fourth proportional to 412.70, 617.70 and 291.20 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.70 : 617.70 = 291.20 : x
  2. Step 2: Convert to fraction form
    412.70/617.70 = 291.20/x
  3. Step 3: Cross multiply
    412.70x = 617.70 × 291.20
  4. Step 4: Simplify right side
    412.70x = 179,874.24
  5. Step 5: Solve for x
    x = 179,874.24/412.70
  6. Step 6: Final answer
    x = 435.85

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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.