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Finding the Fourth Proportional to 1,305.45, 1,957.74 and 380.79

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Solution

The fourth proportional to 1,305.45, 1,957.74 and 380.79 is: 571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.45 : 1,957.74 = 380.79 : x
  2. Step 2: Convert to fraction form
    1,305.45/1,957.74 = 380.79/x
  3. Step 3: Cross multiply
    1,305.45x = 1,957.74 × 380.79
  4. Step 4: Simplify right side
    1,305.45x = 745,487.81
  5. Step 5: Solve for x
    x = 745,487.81/1,305.45
  6. Step 6: Final answer
    x = 571.06

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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.