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Finding the Fourth Proportional to 600.75, 829.34 and 404.59

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Solution

The fourth proportional to 600.75, 829.34 and 404.59 is: 558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 829.34 = 404.59 : x
  2. Step 2: Convert to fraction form
    600.75/829.34 = 404.59/x
  3. Step 3: Cross multiply
    600.75x = 829.34 × 404.59
  4. Step 4: Simplify right side
    600.75x = 335,542.67
  5. Step 5: Solve for x
    x = 335,542.67/600.75
  6. Step 6: Final answer
    x = 558.54

Related Problems

Find fourth proportional to 300.38, 414.67 and 202.30
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.