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Finding the Fourth Proportional to 1,049.05, 1,573.77 and 432.41

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Solution

The fourth proportional to 1,049.05, 1,573.77 and 432.41 is: 648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.05 : 1,573.77 = 432.41 : x
  2. Step 2: Convert to fraction form
    1,049.05/1,573.77 = 432.41/x
  3. Step 3: Cross multiply
    1,049.05x = 1,573.77 × 432.41
  4. Step 4: Simplify right side
    1,049.05x = 680,511.72
  5. Step 5: Solve for x
    x = 680,511.72/1,049.05
  6. Step 6: Final answer
    x = 648.69

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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.