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Finding the Fourth Proportional to 451.80, 675.81 and 410.94

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Solution

The fourth proportional to 451.80, 675.81 and 410.94 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.80 : 675.81 = 410.94 : x
  2. Step 2: Convert to fraction form
    451.80/675.81 = 410.94/x
  3. Step 3: Cross multiply
    451.80x = 675.81 × 410.94
  4. Step 4: Simplify right side
    451.80x = 277,717.36
  5. Step 5: Solve for x
    x = 277,717.36/451.80
  6. Step 6: Final answer
    x = 614.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.