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Finding the Fourth Proportional to 558.56, 834.07 and 456.04

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Solution

The fourth proportional to 558.56, 834.07 and 456.04 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.56 : 834.07 = 456.04 : x
  2. Step 2: Convert to fraction form
    558.56/834.07 = 456.04/x
  3. Step 3: Cross multiply
    558.56x = 834.07 × 456.04
  4. Step 4: Simplify right side
    558.56x = 380,371.75
  5. Step 5: Solve for x
    x = 380,371.75/558.56
  6. Step 6: Final answer
    x = 680.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.