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Finding the Fourth Proportional to 1,409.72, 2,114.10 and 576.56

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Solution

The fourth proportional to 1,409.72, 2,114.10 and 576.56 is: 864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.72 : 2,114.10 = 576.56 : x
  2. Step 2: Convert to fraction form
    1,409.72/2,114.10 = 576.56/x
  3. Step 3: Cross multiply
    1,409.72x = 2,114.10 × 576.56
  4. Step 4: Simplify right side
    1,409.72x = 1,218,910.78
  5. Step 5: Solve for x
    x = 1,218,910.78/1,409.72
  6. Step 6: Final answer
    x = 864.65

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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.