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Finding the Fourth Proportional to 455.60, 678.25 and 452.90

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Solution

The fourth proportional to 455.60, 678.25 and 452.90 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.60 : 678.25 = 452.90 : x
  2. Step 2: Convert to fraction form
    455.60/678.25 = 452.90/x
  3. Step 3: Cross multiply
    455.60x = 678.25 × 452.90
  4. Step 4: Simplify right side
    455.60x = 307,179.43
  5. Step 5: Solve for x
    x = 307,179.43/455.60
  6. Step 6: Final answer
    x = 674.23

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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.