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Finding the Fourth Proportional to 455.82, 686.78 and 412.54

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Solution

The fourth proportional to 455.82, 686.78 and 412.54 is: 621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.82 : 686.78 = 412.54 : x
  2. Step 2: Convert to fraction form
    455.82/686.78 = 412.54/x
  3. Step 3: Cross multiply
    455.82x = 686.78 × 412.54
  4. Step 4: Simplify right side
    455.82x = 283,324.22
  5. Step 5: Solve for x
    x = 283,324.22/455.82
  6. Step 6: Final answer
    x = 621.57

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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.