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Finding the Fourth Proportional to 558.89, 834.56 and 456.37

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Solution

The fourth proportional to 558.89, 834.56 and 456.37 is: 681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.89 : 834.56 = 456.37 : x
  2. Step 2: Convert to fraction form
    558.89/834.56 = 456.37/x
  3. Step 3: Cross multiply
    558.89x = 834.56 × 456.37
  4. Step 4: Simplify right side
    558.89x = 380,867.20
  5. Step 5: Solve for x
    x = 380,867.20/558.89
  6. Step 6: Final answer
    x = 681.48

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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.