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Finding the Fourth Proportional to 1,039.38, 1,434.34 and 573.63

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Solution

The fourth proportional to 1,039.38, 1,434.34 and 573.63 is: 791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.38 : 1,434.34 = 573.63 : x
  2. Step 2: Convert to fraction form
    1,039.38/1,434.34 = 573.63/x
  3. Step 3: Cross multiply
    1,039.38x = 1,434.34 × 573.63
  4. Step 4: Simplify right side
    1,039.38x = 822,780.45
  5. Step 5: Solve for x
    x = 822,780.45/1,039.38
  6. Step 6: Final answer
    x = 791.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.