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Finding the Fourth Proportional to 1,406.56, 2,109.72 and 380.56

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Solution

The fourth proportional to 1,406.56, 2,109.72 and 380.56 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.56 : 2,109.72 = 380.56 : x
  2. Step 2: Convert to fraction form
    1,406.56/2,109.72 = 380.56/x
  3. Step 3: Cross multiply
    1,406.56x = 2,109.72 × 380.56
  4. Step 4: Simplify right side
    1,406.56x = 802,875.04
  5. Step 5: Solve for x
    x = 802,875.04/1,406.56
  6. Step 6: Final answer
    x = 570.81

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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.