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Finding the Fourth Proportional to 455.43, 679.71 and 411.69

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Solution

The fourth proportional to 455.43, 679.71 and 411.69 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.43 : 679.71 = 411.69 : x
  2. Step 2: Convert to fraction form
    455.43/679.71 = 411.69/x
  3. Step 3: Cross multiply
    455.43x = 679.71 × 411.69
  4. Step 4: Simplify right side
    455.43x = 279,829.81
  5. Step 5: Solve for x
    x = 279,829.81/455.43
  6. Step 6: Final answer
    x = 614.43

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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.