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Finding the Fourth Proportional to 558.79, 834.42 and 456.27

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Solution

The fourth proportional to 558.79, 834.42 and 456.27 is: 681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.79 : 834.42 = 456.27 : x
  2. Step 2: Convert to fraction form
    558.79/834.42 = 456.27/x
  3. Step 3: Cross multiply
    558.79x = 834.42 × 456.27
  4. Step 4: Simplify right side
    558.79x = 380,725.79
  5. Step 5: Solve for x
    x = 380,725.79/558.79
  6. Step 6: Final answer
    x = 681.34

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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.