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Finding the Fourth Proportional to 470.72, 704.82 and 275.56

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Solution

The fourth proportional to 470.72, 704.82 and 275.56 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.72 : 704.82 = 275.56 : x
  2. Step 2: Convert to fraction form
    470.72/704.82 = 275.56/x
  3. Step 3: Cross multiply
    470.72x = 704.82 × 275.56
  4. Step 4: Simplify right side
    470.72x = 194,220.20
  5. Step 5: Solve for x
    x = 194,220.20/470.72
  6. Step 6: Final answer
    x = 412.60

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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.