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Finding the Fourth Proportional to 877.38, 1,314.52 and 825.36

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Solution

The fourth proportional to 877.38, 1,314.52 and 825.36 is: 1,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.38 : 1,314.52 = 825.36 : x
  2. Step 2: Convert to fraction form
    877.38/1,314.52 = 825.36/x
  3. Step 3: Cross multiply
    877.38x = 1,314.52 × 825.36
  4. Step 4: Simplify right side
    877.38x = 1,084,952.23
  5. Step 5: Solve for x
    x = 1,084,952.23/877.38
  6. Step 6: Final answer
    x = 1,236.58

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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.