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Finding the Fourth Proportional to 802.33, 1,203.14 and 369.25

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Solution

The fourth proportional to 802.33, 1,203.14 and 369.25 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.33 : 1,203.14 = 369.25 : x
  2. Step 2: Convert to fraction form
    802.33/1,203.14 = 369.25/x
  3. Step 3: Cross multiply
    802.33x = 1,203.14 × 369.25
  4. Step 4: Simplify right side
    802.33x = 444,257.60
  5. Step 5: Solve for x
    x = 444,257.60/802.33
  6. Step 6: Final answer
    x = 553.71

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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.