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Finding the Fourth Proportional to 1,369.82, 2,054.79 and 382.70

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Solution

The fourth proportional to 1,369.82, 2,054.79 and 382.70 is: 574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.82 : 2,054.79 = 382.70 : x
  2. Step 2: Convert to fraction form
    1,369.82/2,054.79 = 382.70/x
  3. Step 3: Cross multiply
    1,369.82x = 2,054.79 × 382.70
  4. Step 4: Simplify right side
    1,369.82x = 786,368.13
  5. Step 5: Solve for x
    x = 786,368.13/1,369.82
  6. Step 6: Final answer
    x = 574.07

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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.