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Finding the Fourth Proportional to 470.88, 704.84 and 338.88

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Solution

The fourth proportional to 470.88, 704.84 and 338.88 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 704.84 = 338.88 : x
  2. Step 2: Convert to fraction form
    470.88/704.84 = 338.88/x
  3. Step 3: Cross multiply
    470.88x = 704.84 × 338.88
  4. Step 4: Simplify right side
    470.88x = 238,856.18
  5. Step 5: Solve for x
    x = 238,856.18/470.88
  6. Step 6: Final answer
    x = 507.25

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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.