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Finding the Fourth Proportional to 559.39, 835.31 and 456.87

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Solution

The fourth proportional to 559.39, 835.31 and 456.87 is: 682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.39 : 835.31 = 456.87 : x
  2. Step 2: Convert to fraction form
    559.39/835.31 = 456.87/x
  3. Step 3: Cross multiply
    559.39x = 835.31 × 456.87
  4. Step 4: Simplify right side
    559.39x = 381,628.08
  5. Step 5: Solve for x
    x = 381,628.08/559.39
  6. Step 6: Final answer
    x = 682.23

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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.