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Finding the Fourth Proportional to 558.06, 834.53 and 419.64

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Solution

The fourth proportional to 558.06, 834.53 and 419.64 is: 627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.06 : 834.53 = 419.64 : x
  2. Step 2: Convert to fraction form
    558.06/834.53 = 419.64/x
  3. Step 3: Cross multiply
    558.06x = 834.53 × 419.64
  4. Step 4: Simplify right side
    558.06x = 350,200.07
  5. Step 5: Solve for x
    x = 350,200.07/558.06
  6. Step 6: Final answer
    x = 627.53

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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.