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Finding the Fourth Proportional to 1,049.88, 1,573.44 and 432.86

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Solution

The fourth proportional to 1,049.88, 1,573.44 and 432.86 is: 648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.88 : 1,573.44 = 432.86 : x
  2. Step 2: Convert to fraction form
    1,049.88/1,573.44 = 432.86/x
  3. Step 3: Cross multiply
    1,049.88x = 1,573.44 × 432.86
  4. Step 4: Simplify right side
    1,049.88x = 681,071.37
  5. Step 5: Solve for x
    x = 681,071.37/1,049.88
  6. Step 6: Final answer
    x = 648.71

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1.5x scale

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.