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Finding the Fourth Proportional to 802.26, 1,203.60 and 282.24

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Solution

The fourth proportional to 802.26, 1,203.60 and 282.24 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.26 : 1,203.60 = 282.24 : x
  2. Step 2: Convert to fraction form
    802.26/1,203.60 = 282.24/x
  3. Step 3: Cross multiply
    802.26x = 1,203.60 × 282.24
  4. Step 4: Simplify right side
    802.26x = 339,704.06
  5. Step 5: Solve for x
    x = 339,704.06/802.26
  6. Step 6: Final answer
    x = 423.43

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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.