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Finding the Fourth Proportional to 705.00, 972.30 and 495.11

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Solution

The fourth proportional to 705.00, 972.30 and 495.11 is: 682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.00 : 972.30 = 495.11 : x
  2. Step 2: Convert to fraction form
    705.00/972.30 = 495.11/x
  3. Step 3: Cross multiply
    705.00x = 972.30 × 495.11
  4. Step 4: Simplify right side
    705.00x = 481,399.74
  5. Step 5: Solve for x
    x = 481,399.74/705.00
  6. Step 6: Final answer
    x = 682.83

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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.