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Finding the Fourth Proportional to 567.73, 850.83 and 430.35

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Solution

The fourth proportional to 567.73, 850.83 and 430.35 is: 644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.73 : 850.83 = 430.35 : x
  2. Step 2: Convert to fraction form
    567.73/850.83 = 430.35/x
  3. Step 3: Cross multiply
    567.73x = 850.83 × 430.35
  4. Step 4: Simplify right side
    567.73x = 366,150.44
  5. Step 5: Solve for x
    x = 366,150.44/567.73
  6. Step 6: Final answer
    x = 644.94

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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.