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Finding the Fourth Proportional to 802.17, 1,107.32 and 539.73

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Solution

The fourth proportional to 802.17, 1,107.32 and 539.73 is: 745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.17 : 1,107.32 = 539.73 : x
  2. Step 2: Convert to fraction form
    802.17/1,107.32 = 539.73/x
  3. Step 3: Cross multiply
    802.17x = 1,107.32 × 539.73
  4. Step 4: Simplify right side
    802.17x = 597,651.12
  5. Step 5: Solve for x
    x = 597,651.12/802.17
  6. Step 6: Final answer
    x = 745.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.