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Finding the Fourth Proportional to 470.30, 704.54 and 285.25

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Solution

The fourth proportional to 470.30, 704.54 and 285.25 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 704.54 = 285.25 : x
  2. Step 2: Convert to fraction form
    470.30/704.54 = 285.25/x
  3. Step 3: Cross multiply
    470.30x = 704.54 × 285.25
  4. Step 4: Simplify right side
    470.30x = 200,974.15
  5. Step 5: Solve for x
    x = 200,974.15/470.30
  6. Step 6: Final answer
    x = 427.34

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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.