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Finding the Fourth Proportional to 867.82, 1,297.03 and 798.62

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Solution

The fourth proportional to 867.82, 1,297.03 and 798.62 is: 1,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.82 : 1,297.03 = 798.62 : x
  2. Step 2: Convert to fraction form
    867.82/1,297.03 = 798.62/x
  3. Step 3: Cross multiply
    867.82x = 1,297.03 × 798.62
  4. Step 4: Simplify right side
    867.82x = 1,035,834.10
  5. Step 5: Solve for x
    x = 1,035,834.10/867.82
  6. Step 6: Final answer
    x = 1,193.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.