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Finding the Fourth Proportional to 801.33, 1,200.46 and 471.45

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Solution

The fourth proportional to 801.33, 1,200.46 and 471.45 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.33 : 1,200.46 = 471.45 : x
  2. Step 2: Convert to fraction form
    801.33/1,200.46 = 471.45/x
  3. Step 3: Cross multiply
    801.33x = 1,200.46 × 471.45
  4. Step 4: Simplify right side
    801.33x = 565,956.87
  5. Step 5: Solve for x
    x = 565,956.87/801.33
  6. Step 6: Final answer
    x = 706.27

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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.