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Finding the Fourth Proportional to 801.23, 1,200.73 and 389.75

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Solution

The fourth proportional to 801.23, 1,200.73 and 389.75 is: 584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.23 : 1,200.73 = 389.75 : x
  2. Step 2: Convert to fraction form
    801.23/1,200.73 = 389.75/x
  3. Step 3: Cross multiply
    801.23x = 1,200.73 × 389.75
  4. Step 4: Simplify right side
    801.23x = 467,984.52
  5. Step 5: Solve for x
    x = 467,984.52/801.23
  6. Step 6: Final answer
    x = 584.08

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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.