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Finding the Fourth Proportional to 2,493.14, 3,739.79 and 644.31

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Solution

The fourth proportional to 2,493.14, 3,739.79 and 644.31 is: 966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.14 : 3,739.79 = 644.31 : x
  2. Step 2: Convert to fraction form
    2,493.14/3,739.79 = 644.31/x
  3. Step 3: Cross multiply
    2,493.14x = 3,739.79 × 644.31
  4. Step 4: Simplify right side
    2,493.14x = 2,409,585.71
  5. Step 5: Solve for x
    x = 2,409,585.71/2,493.14
  6. Step 6: Final answer
    x = 966.49

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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.