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Finding the Fourth Proportional to 455.32, 686.42 and 425.60

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Solution

The fourth proportional to 455.32, 686.42 and 425.60 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.32 : 686.42 = 425.60 : x
  2. Step 2: Convert to fraction form
    455.32/686.42 = 425.60/x
  3. Step 3: Cross multiply
    455.32x = 686.42 × 425.60
  4. Step 4: Simplify right side
    455.32x = 292,145.22
  5. Step 5: Solve for x
    x = 292,145.22/455.32
  6. Step 6: Final answer
    x = 641.62

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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.