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Finding the Fourth Proportional to 1,534.73, 2,302.07 and 380.48

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Solution

The fourth proportional to 1,534.73, 2,302.07 and 380.48 is: 570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.73 : 2,302.07 = 380.48 : x
  2. Step 2: Convert to fraction form
    1,534.73/2,302.07 = 380.48/x
  3. Step 3: Cross multiply
    1,534.73x = 2,302.07 × 380.48
  4. Step 4: Simplify right side
    1,534.73x = 875,891.59
  5. Step 5: Solve for x
    x = 875,891.59/1,534.73
  6. Step 6: Final answer
    x = 570.71

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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.