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Finding the Fourth Proportional to 883.40, 1,321.32 and 859.82

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Solution

The fourth proportional to 883.40, 1,321.32 and 859.82 is: 1,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.40 : 1,321.32 = 859.82 : x
  2. Step 2: Convert to fraction form
    883.40/1,321.32 = 859.82/x
  3. Step 3: Cross multiply
    883.40x = 1,321.32 × 859.82
  4. Step 4: Simplify right side
    883.40x = 1,136,097.36
  5. Step 5: Solve for x
    x = 1,136,097.36/883.40
  6. Step 6: Final answer
    x = 1,286.05

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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.