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Finding the Fourth Proportional to 802.38, 1,202.42 and 455.18

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Solution

The fourth proportional to 802.38, 1,202.42 and 455.18 is: 682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.38 : 1,202.42 = 455.18 : x
  2. Step 2: Convert to fraction form
    802.38/1,202.42 = 455.18/x
  3. Step 3: Cross multiply
    802.38x = 1,202.42 × 455.18
  4. Step 4: Simplify right side
    802.38x = 547,317.54
  5. Step 5: Solve for x
    x = 547,317.54/802.38
  6. Step 6: Final answer
    x = 682.12

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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.