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Finding the Fourth Proportional to 863.62, 1,192.22 and 585.32

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Solution

The fourth proportional to 863.62, 1,192.22 and 585.32 is: 808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.62 : 1,192.22 = 585.32 : x
  2. Step 2: Convert to fraction form
    863.62/1,192.22 = 585.32/x
  3. Step 3: Cross multiply
    863.62x = 1,192.22 × 585.32
  4. Step 4: Simplify right side
    863.62x = 697,830.21
  5. Step 5: Solve for x
    x = 697,830.21/863.62
  6. Step 6: Final answer
    x = 808.03

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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.