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Finding the Fourth Proportional to 455.63, 686.54 and 405.90

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Solution

The fourth proportional to 455.63, 686.54 and 405.90 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 686.54 = 405.90 : x
  2. Step 2: Convert to fraction form
    455.63/686.54 = 405.90/x
  3. Step 3: Cross multiply
    455.63x = 686.54 × 405.90
  4. Step 4: Simplify right side
    455.63x = 278,665.88
  5. Step 5: Solve for x
    x = 278,665.88/455.63
  6. Step 6: Final answer
    x = 611.61

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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.