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Finding the Fourth Proportional to 567.98, 850.98 and 404.81

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Solution

The fourth proportional to 567.98, 850.98 and 404.81 is: 606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.98 : 850.98 = 404.81 : x
  2. Step 2: Convert to fraction form
    567.98/850.98 = 404.81/x
  3. Step 3: Cross multiply
    567.98x = 850.98 × 404.81
  4. Step 4: Simplify right side
    567.98x = 344,485.21
  5. Step 5: Solve for x
    x = 344,485.21/567.98
  6. Step 6: Final answer
    x = 606.51

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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.