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Finding the Fourth Proportional to 470.24, 704.24 and 454.08

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Solution

The fourth proportional to 470.24, 704.24 and 454.08 is: 680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 704.24 = 454.08 : x
  2. Step 2: Convert to fraction form
    470.24/704.24 = 454.08/x
  3. Step 3: Cross multiply
    470.24x = 704.24 × 454.08
  4. Step 4: Simplify right side
    470.24x = 319,781.30
  5. Step 5: Solve for x
    x = 319,781.30/470.24
  6. Step 6: Final answer
    x = 680.04

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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.