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Finding the Fourth Proportional to 802.47, 1,203.45 and 282.33

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Solution

The fourth proportional to 802.47, 1,203.45 and 282.33 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.47 : 1,203.45 = 282.33 : x
  2. Step 2: Convert to fraction form
    802.47/1,203.45 = 282.33/x
  3. Step 3: Cross multiply
    802.47x = 1,203.45 × 282.33
  4. Step 4: Simplify right side
    802.47x = 339,770.04
  5. Step 5: Solve for x
    x = 339,770.04/802.47
  6. Step 6: Final answer
    x = 423.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.