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Finding the Fourth Proportional to 1,629.71, 2,444.63 and 475.46

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Solution

The fourth proportional to 1,629.71, 2,444.63 and 475.46 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.71 : 2,444.63 = 475.46 : x
  2. Step 2: Convert to fraction form
    1,629.71/2,444.63 = 475.46/x
  3. Step 3: Cross multiply
    1,629.71x = 2,444.63 × 475.46
  4. Step 4: Simplify right side
    1,629.71x = 1,162,323.78
  5. Step 5: Solve for x
    x = 1,162,323.78/1,629.71
  6. Step 6: Final answer
    x = 713.21

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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.