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Finding the Fourth Proportional to 971.22, 1,454.80 and 825.62

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Solution

The fourth proportional to 971.22, 1,454.80 and 825.62 is: 1,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,454.80 = 825.62 : x
  2. Step 2: Convert to fraction form
    971.22/1,454.80 = 825.62/x
  3. Step 3: Cross multiply
    971.22x = 1,454.80 × 825.62
  4. Step 4: Simplify right side
    971.22x = 1,201,111.98
  5. Step 5: Solve for x
    x = 1,201,111.98/971.22
  6. Step 6: Final answer
    x = 1,236.70

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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.