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Finding the Fourth Proportional to 2,592.25, 3,888.41 and 644.45

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Solution

The fourth proportional to 2,592.25, 3,888.41 and 644.45 is: 966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.25 : 3,888.41 = 644.45 : x
  2. Step 2: Convert to fraction form
    2,592.25/3,888.41 = 644.45/x
  3. Step 3: Cross multiply
    2,592.25x = 3,888.41 × 644.45
  4. Step 4: Simplify right side
    2,592.25x = 2,505,882.60
  5. Step 5: Solve for x
    x = 2,505,882.60/2,592.25
  6. Step 6: Final answer
    x = 966.68

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1.5x scale

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.