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Finding the Fourth Proportional to 1,581.62, 2,372.42 and 485.99

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Solution

The fourth proportional to 1,581.62, 2,372.42 and 485.99 is: 728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.62 : 2,372.42 = 485.99 : x
  2. Step 2: Convert to fraction form
    1,581.62/2,372.42 = 485.99/x
  3. Step 3: Cross multiply
    1,581.62x = 2,372.42 × 485.99
  4. Step 4: Simplify right side
    1,581.62x = 1,152,979.54
  5. Step 5: Solve for x
    x = 1,152,979.54/1,581.62
  6. Step 6: Final answer
    x = 728.99

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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.