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Finding the Fourth Proportional to 893.61, 1,331.65 and 864.25

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Solution

The fourth proportional to 893.61, 1,331.65 and 864.25 is: 1,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.61 : 1,331.65 = 864.25 : x
  2. Step 2: Convert to fraction form
    893.61/1,331.65 = 864.25/x
  3. Step 3: Cross multiply
    893.61x = 1,331.65 × 864.25
  4. Step 4: Simplify right side
    893.61x = 1,150,874.19
  5. Step 5: Solve for x
    x = 1,150,874.19/893.61
  6. Step 6: Final answer
    x = 1,287.89

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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.