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Finding the Fourth Proportional to 455.14, 679.15 and 409.17

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Solution

The fourth proportional to 455.14, 679.15 and 409.17 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.14 : 679.15 = 409.17 : x
  2. Step 2: Convert to fraction form
    455.14/679.15 = 409.17/x
  3. Step 3: Cross multiply
    455.14x = 679.15 × 409.17
  4. Step 4: Simplify right side
    455.14x = 277,887.81
  5. Step 5: Solve for x
    x = 277,887.81/455.14
  6. Step 6: Final answer
    x = 610.55

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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.