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Finding the Fourth Proportional to 455.49, 677.90 and 446.99

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Solution

The fourth proportional to 455.49, 677.90 and 446.99 is: 665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.49 : 677.90 = 446.99 : x
  2. Step 2: Convert to fraction form
    455.49/677.90 = 446.99/x
  3. Step 3: Cross multiply
    455.49x = 677.90 × 446.99
  4. Step 4: Simplify right side
    455.49x = 303,012.25
  5. Step 5: Solve for x
    x = 303,012.25/455.49
  6. Step 6: Final answer
    x = 665.24

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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.