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Finding the Fourth Proportional to 802.09, 1,202.83 and 314.88

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Solution

The fourth proportional to 802.09, 1,202.83 and 314.88 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.09 : 1,202.83 = 314.88 : x
  2. Step 2: Convert to fraction form
    802.09/1,202.83 = 314.88/x
  3. Step 3: Cross multiply
    802.09x = 1,202.83 × 314.88
  4. Step 4: Simplify right side
    802.09x = 378,747.11
  5. Step 5: Solve for x
    x = 378,747.11/802.09
  6. Step 6: Final answer
    x = 472.20

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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.