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Finding the Fourth Proportional to 1,621.05, 2,432.08 and 581.02

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Solution

The fourth proportional to 1,621.05, 2,432.08 and 581.02 is: 871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.05 : 2,432.08 = 581.02 : x
  2. Step 2: Convert to fraction form
    1,621.05/2,432.08 = 581.02/x
  3. Step 3: Cross multiply
    1,621.05x = 2,432.08 × 581.02
  4. Step 4: Simplify right side
    1,621.05x = 1,413,087.12
  5. Step 5: Solve for x
    x = 1,413,087.12/1,621.05
  6. Step 6: Final answer
    x = 871.71

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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.