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Finding the Fourth Proportional to 455.69, 680.19 and 417.22

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Solution

The fourth proportional to 455.69, 680.19 and 417.22 is: 622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.69 : 680.19 = 417.22 : x
  2. Step 2: Convert to fraction form
    455.69/680.19 = 417.22/x
  3. Step 3: Cross multiply
    455.69x = 680.19 × 417.22
  4. Step 4: Simplify right side
    455.69x = 283,788.87
  5. Step 5: Solve for x
    x = 283,788.87/455.69
  6. Step 6: Final answer
    x = 622.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.