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Finding the Fourth Proportional to 705.69, 972.09 and 495.50

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Solution

The fourth proportional to 705.69, 972.09 and 495.50 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 972.09 = 495.50 : x
  2. Step 2: Convert to fraction form
    705.69/972.09 = 495.50/x
  3. Step 3: Cross multiply
    705.69x = 972.09 × 495.50
  4. Step 4: Simplify right side
    705.69x = 481,665.73
  5. Step 5: Solve for x
    x = 481,665.73/705.69
  6. Step 6: Final answer
    x = 682.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.