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Finding the Fourth Proportional to 1,380.53, 2,071.61 and 558.68

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Solution

The fourth proportional to 1,380.53, 2,071.61 and 558.68 is: 838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.53 : 2,071.61 = 558.68 : x
  2. Step 2: Convert to fraction form
    1,380.53/2,071.61 = 558.68/x
  3. Step 3: Cross multiply
    1,380.53x = 2,071.61 × 558.68
  4. Step 4: Simplify right side
    1,380.53x = 1,157,353.92
  5. Step 5: Solve for x
    x = 1,157,353.92/1,380.53
  6. Step 6: Final answer
    x = 838.34

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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.