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Finding the Fourth Proportional to 801.72, 1,200.83 and 476.37

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Solution

The fourth proportional to 801.72, 1,200.83 and 476.37 is: 713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.72 : 1,200.83 = 476.37 : x
  2. Step 2: Convert to fraction form
    801.72/1,200.83 = 476.37/x
  3. Step 3: Cross multiply
    801.72x = 1,200.83 × 476.37
  4. Step 4: Simplify right side
    801.72x = 572,037.01
  5. Step 5: Solve for x
    x = 572,037.01/801.72
  6. Step 6: Final answer
    x = 713.51

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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.