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Finding the Fourth Proportional to 558.33, 835.75 and 297.68

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Solution

The fourth proportional to 558.33, 835.75 and 297.68 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.33 : 835.75 = 297.68 : x
  2. Step 2: Convert to fraction form
    558.33/835.75 = 297.68/x
  3. Step 3: Cross multiply
    558.33x = 835.75 × 297.68
  4. Step 4: Simplify right side
    558.33x = 248,782.25
  5. Step 5: Solve for x
    x = 248,782.25/558.33
  6. Step 6: Final answer
    x = 445.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.