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Finding the Fourth Proportional to 558.28, 835.26 and 340.84

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Solution

The fourth proportional to 558.28, 835.26 and 340.84 is: 509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.28 : 835.26 = 340.84 : x
  2. Step 2: Convert to fraction form
    558.28/835.26 = 340.84/x
  3. Step 3: Cross multiply
    558.28x = 835.26 × 340.84
  4. Step 4: Simplify right side
    558.28x = 284,690.02
  5. Step 5: Solve for x
    x = 284,690.02/558.28
  6. Step 6: Final answer
    x = 509.94

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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.