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Finding the Fourth Proportional to 559.75, 835.85 and 457.23

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Solution

The fourth proportional to 559.75, 835.85 and 457.23 is: 682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 835.85 = 457.23 : x
  2. Step 2: Convert to fraction form
    559.75/835.85 = 457.23/x
  3. Step 3: Cross multiply
    559.75x = 835.85 × 457.23
  4. Step 4: Simplify right side
    559.75x = 382,173.41
  5. Step 5: Solve for x
    x = 382,173.41/559.75
  6. Step 6: Final answer
    x = 682.76

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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.