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Finding the Fourth Proportional to 470.69, 704.88 and 427.62

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Solution

The fourth proportional to 470.69, 704.88 and 427.62 is: 640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 704.88 = 427.62 : x
  2. Step 2: Convert to fraction form
    470.69/704.88 = 427.62/x
  3. Step 3: Cross multiply
    470.69x = 704.88 × 427.62
  4. Step 4: Simplify right side
    470.69x = 301,420.79
  5. Step 5: Solve for x
    x = 301,420.79/470.69
  6. Step 6: Final answer
    x = 640.39

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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.