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Finding the Fourth Proportional to 559.26, 835.12 and 456.74

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Solution

The fourth proportional to 559.26, 835.12 and 456.74 is: 682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.26 : 835.12 = 456.74 : x
  2. Step 2: Convert to fraction form
    559.26/835.12 = 456.74/x
  3. Step 3: Cross multiply
    559.26x = 835.12 × 456.74
  4. Step 4: Simplify right side
    559.26x = 381,435.37
  5. Step 5: Solve for x
    x = 381,435.37/559.26
  6. Step 6: Final answer
    x = 682.04

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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.