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Finding the Fourth Proportional to 455.18, 685.71 and 449.51

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Solution

The fourth proportional to 455.18, 685.71 and 449.51 is: 677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.18 : 685.71 = 449.51 : x
  2. Step 2: Convert to fraction form
    455.18/685.71 = 449.51/x
  3. Step 3: Cross multiply
    455.18x = 685.71 × 449.51
  4. Step 4: Simplify right side
    455.18x = 308,230.07
  5. Step 5: Solve for x
    x = 308,230.07/455.18
  6. Step 6: Final answer
    x = 677.17

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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.