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Finding the Fourth Proportional to 1,659.33, 2,489.11 and 619.31

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Solution

The fourth proportional to 1,659.33, 2,489.11 and 619.31 is: 929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.33 : 2,489.11 = 619.31 : x
  2. Step 2: Convert to fraction form
    1,659.33/2,489.11 = 619.31/x
  3. Step 3: Cross multiply
    1,659.33x = 2,489.11 × 619.31
  4. Step 4: Simplify right side
    1,659.33x = 1,541,535.39
  5. Step 5: Solve for x
    x = 1,541,535.39/1,659.33
  6. Step 6: Final answer
    x = 929.01

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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.