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Finding the Fourth Proportional to 1,644.30, 2,466.18 and 951.75

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Solution

The fourth proportional to 1,644.30, 2,466.18 and 951.75 is: 1,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.30 : 2,466.18 = 951.75 : x
  2. Step 2: Convert to fraction form
    1,644.30/2,466.18 = 951.75/x
  3. Step 3: Cross multiply
    1,644.30x = 2,466.18 × 951.75
  4. Step 4: Simplify right side
    1,644.30x = 2,347,186.82
  5. Step 5: Solve for x
    x = 2,347,186.82/1,644.30
  6. Step 6: Final answer
    x = 1,427.47

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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.