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Finding the Fourth Proportional to 1,582.27, 2,372.84 and 541.99

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Solution

The fourth proportional to 1,582.27, 2,372.84 and 541.99 is: 812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.27 : 2,372.84 = 541.99 : x
  2. Step 2: Convert to fraction form
    1,582.27/2,372.84 = 541.99/x
  3. Step 3: Cross multiply
    1,582.27x = 2,372.84 × 541.99
  4. Step 4: Simplify right side
    1,582.27x = 1,286,064.97
  5. Step 5: Solve for x
    x = 1,286,064.97/1,582.27
  6. Step 6: Final answer
    x = 812.80

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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.