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Finding the Fourth Proportional to 802.42, 1,203.62 and 282.29

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Solution

The fourth proportional to 802.42, 1,203.62 and 282.29 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,203.62 = 282.29 : x
  2. Step 2: Convert to fraction form
    802.42/1,203.62 = 282.29/x
  3. Step 3: Cross multiply
    802.42x = 1,203.62 × 282.29
  4. Step 4: Simplify right side
    802.42x = 339,762.46
  5. Step 5: Solve for x
    x = 339,762.46/802.42
  6. Step 6: Final answer
    x = 423.42

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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.