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Finding the Fourth Proportional to 1,815.72, 2,723.81 and 583.22

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Solution

The fourth proportional to 1,815.72, 2,723.81 and 583.22 is: 874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.72 : 2,723.81 = 583.22 : x
  2. Step 2: Convert to fraction form
    1,815.72/2,723.81 = 583.22/x
  3. Step 3: Cross multiply
    1,815.72x = 2,723.81 × 583.22
  4. Step 4: Simplify right side
    1,815.72x = 1,588,563.93
  5. Step 5: Solve for x
    x = 1,588,563.93/1,815.72
  6. Step 6: Final answer
    x = 874.89

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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.