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Finding the Fourth Proportional to 800.36, 1,200.71 and 306.77

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Solution

The fourth proportional to 800.36, 1,200.71 and 306.77 is: 460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.36 : 1,200.71 = 306.77 : x
  2. Step 2: Convert to fraction form
    800.36/1,200.71 = 306.77/x
  3. Step 3: Cross multiply
    800.36x = 1,200.71 × 306.77
  4. Step 4: Simplify right side
    800.36x = 368,339.38
  5. Step 5: Solve for x
    x = 368,339.38/800.36
  6. Step 6: Final answer
    x = 460.22

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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.