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Finding the Fourth Proportional to 1,074.63, 1,612.55 and 581.03

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Solution

The fourth proportional to 1,074.63, 1,612.55 and 581.03 is: 871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.63 : 1,612.55 = 581.03 : x
  2. Step 2: Convert to fraction form
    1,074.63/1,612.55 = 581.03/x
  3. Step 3: Cross multiply
    1,074.63x = 1,612.55 × 581.03
  4. Step 4: Simplify right side
    1,074.63x = 936,939.93
  5. Step 5: Solve for x
    x = 936,939.93/1,074.63
  6. Step 6: Final answer
    x = 871.87

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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.