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Finding the Fourth Proportional to 470.84, 704.46 and 282.51

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Solution

The fourth proportional to 470.84, 704.46 and 282.51 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 704.46 = 282.51 : x
  2. Step 2: Convert to fraction form
    470.84/704.46 = 282.51/x
  3. Step 3: Cross multiply
    470.84x = 704.46 × 282.51
  4. Step 4: Simplify right side
    470.84x = 199,016.99
  5. Step 5: Solve for x
    x = 199,016.99/470.84
  6. Step 6: Final answer
    x = 422.69

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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.