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Finding the Fourth Proportional to 412.17, 620.70 and 358.71

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Solution

The fourth proportional to 412.17, 620.70 and 358.71 is: 540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 620.70 = 358.71 : x
  2. Step 2: Convert to fraction form
    412.17/620.70 = 358.71/x
  3. Step 3: Cross multiply
    412.17x = 620.70 × 358.71
  4. Step 4: Simplify right side
    412.17x = 222,651.30
  5. Step 5: Solve for x
    x = 222,651.30/412.17
  6. Step 6: Final answer
    x = 540.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.