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Finding the Fourth Proportional to 800.33, 1,203.00 and 528.17

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Solution

The fourth proportional to 800.33, 1,203.00 and 528.17 is: 793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,203.00 = 528.17 : x
  2. Step 2: Convert to fraction form
    800.33/1,203.00 = 528.17/x
  3. Step 3: Cross multiply
    800.33x = 1,203.00 × 528.17
  4. Step 4: Simplify right side
    800.33x = 635,390.25
  5. Step 5: Solve for x
    x = 635,390.25/800.33
  6. Step 6: Final answer
    x = 793.91

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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.