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Finding the Fourth Proportional to 470.12, 704.82 and 287.42

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Solution

The fourth proportional to 470.12, 704.82 and 287.42 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 704.82 = 287.42 : x
  2. Step 2: Convert to fraction form
    470.12/704.82 = 287.42/x
  3. Step 3: Cross multiply
    470.12x = 704.82 × 287.42
  4. Step 4: Simplify right side
    470.12x = 202,579.36
  5. Step 5: Solve for x
    x = 202,579.36/470.12
  6. Step 6: Final answer
    x = 430.91

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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.