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Finding the Fourth Proportional to 1,496.57, 2,245.80 and 572.23

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Solution

The fourth proportional to 1,496.57, 2,245.80 and 572.23 is: 858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.57 : 2,245.80 = 572.23 : x
  2. Step 2: Convert to fraction form
    1,496.57/2,245.80 = 572.23/x
  3. Step 3: Cross multiply
    1,496.57x = 2,245.80 × 572.23
  4. Step 4: Simplify right side
    1,496.57x = 1,285,114.13
  5. Step 5: Solve for x
    x = 1,285,114.13/1,496.57
  6. Step 6: Final answer
    x = 858.71

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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.