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Finding the Fourth Proportional to 1,380.94, 2,069.81 and 558.19

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Solution

The fourth proportional to 1,380.94, 2,069.81 and 558.19 is: 836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.94 : 2,069.81 = 558.19 : x
  2. Step 2: Convert to fraction form
    1,380.94/2,069.81 = 558.19/x
  3. Step 3: Cross multiply
    1,380.94x = 2,069.81 × 558.19
  4. Step 4: Simplify right side
    1,380.94x = 1,155,347.24
  5. Step 5: Solve for x
    x = 1,155,347.24/1,380.94
  6. Step 6: Final answer
    x = 836.64

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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.