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Finding the Fourth Proportional to 893.61, 1,331.66 and 864.26

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Solution

The fourth proportional to 893.61, 1,331.66 and 864.26 is: 1,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.61 : 1,331.66 = 864.26 : x
  2. Step 2: Convert to fraction form
    893.61/1,331.66 = 864.26/x
  3. Step 3: Cross multiply
    893.61x = 1,331.66 × 864.26
  4. Step 4: Simplify right side
    893.61x = 1,150,889.49
  5. Step 5: Solve for x
    x = 1,150,889.49/893.61
  6. Step 6: Final answer
    x = 1,287.91

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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.