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Finding the Fourth Proportional to 1,049.19, 1,573.78 and 432.73

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Solution

The fourth proportional to 1,049.19, 1,573.78 and 432.73 is: 649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.19 : 1,573.78 = 432.73 : x
  2. Step 2: Convert to fraction form
    1,049.19/1,573.78 = 432.73/x
  3. Step 3: Cross multiply
    1,049.19x = 1,573.78 × 432.73
  4. Step 4: Simplify right side
    1,049.19x = 681,014.66
  5. Step 5: Solve for x
    x = 681,014.66/1,049.19
  6. Step 6: Final answer
    x = 649.09

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Double scale
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Similar ratio
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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.