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Finding the Fourth Proportional to 1,390.83, 1,920.78 and 1,203.42

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Solution

The fourth proportional to 1,390.83, 1,920.78 and 1,203.42 is: 1,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.83 : 1,920.78 = 1,203.42 : x
  2. Step 2: Convert to fraction form
    1,390.83/1,920.78 = 1,203.42/x
  3. Step 3: Cross multiply
    1,390.83x = 1,920.78 × 1,203.42
  4. Step 4: Simplify right side
    1,390.83x = 2,311,505.07
  5. Step 5: Solve for x
    x = 2,311,505.07/1,390.83
  6. Step 6: Final answer
    x = 1,661.96

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