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Finding the Fourth Proportional to 800.72, 1,206.44 and 664.92

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Solution

The fourth proportional to 800.72, 1,206.44 and 664.92 is: 1,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,206.44 = 664.92 : x
  2. Step 2: Convert to fraction form
    800.72/1,206.44 = 664.92/x
  3. Step 3: Cross multiply
    800.72x = 1,206.44 × 664.92
  4. Step 4: Simplify right side
    800.72x = 802,186.08
  5. Step 5: Solve for x
    x = 802,186.08/800.72
  6. Step 6: Final answer
    x = 1,001.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.