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Finding the Fourth Proportional to 2,468.54, 3,702.73 and 644.54

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Solution

The fourth proportional to 2,468.54, 3,702.73 and 644.54 is: 966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.54 : 3,702.73 = 644.54 : x
  2. Step 2: Convert to fraction form
    2,468.54/3,702.73 = 644.54/x
  3. Step 3: Cross multiply
    2,468.54x = 3,702.73 × 644.54
  4. Step 4: Simplify right side
    2,468.54x = 2,386,557.59
  5. Step 5: Solve for x
    x = 2,386,557.59/2,468.54
  6. Step 6: Final answer
    x = 966.79

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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.