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Finding the Fourth Proportional to 1,505.68, 2,257.49 and 580.99

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Solution

The fourth proportional to 1,505.68, 2,257.49 and 580.99 is: 871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.68 : 2,257.49 = 580.99 : x
  2. Step 2: Convert to fraction form
    1,505.68/2,257.49 = 580.99/x
  3. Step 3: Cross multiply
    1,505.68x = 2,257.49 × 580.99
  4. Step 4: Simplify right side
    1,505.68x = 1,311,574.92
  5. Step 5: Solve for x
    x = 1,311,574.92/1,505.68
  6. Step 6: Final answer
    x = 871.09

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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.