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Finding the Fourth Proportional to 1,349.65, 2,022.90 and 619.30

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Solution

The fourth proportional to 1,349.65, 2,022.90 and 619.30 is: 928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.65 : 2,022.90 = 619.30 : x
  2. Step 2: Convert to fraction form
    1,349.65/2,022.90 = 619.30/x
  3. Step 3: Cross multiply
    1,349.65x = 2,022.90 × 619.30
  4. Step 4: Simplify right side
    1,349.65x = 1,252,781.97
  5. Step 5: Solve for x
    x = 1,252,781.97/1,349.65
  6. Step 6: Final answer
    x = 928.23

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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.