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Finding the Fourth Proportional to 1,659.65, 2,489.74 and 505.13

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Solution

The fourth proportional to 1,659.65, 2,489.74 and 505.13 is: 757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.65 : 2,489.74 = 505.13 : x
  2. Step 2: Convert to fraction form
    1,659.65/2,489.74 = 505.13/x
  3. Step 3: Cross multiply
    1,659.65x = 2,489.74 × 505.13
  4. Step 4: Simplify right side
    1,659.65x = 1,257,628.65
  5. Step 5: Solve for x
    x = 1,257,628.65/1,659.65
  6. Step 6: Final answer
    x = 757.77

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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.