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Finding the Fourth Proportional to 470.85, 704.90 and 287.69

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Solution

The fourth proportional to 470.85, 704.90 and 287.69 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.85 : 704.90 = 287.69 : x
  2. Step 2: Convert to fraction form
    470.85/704.90 = 287.69/x
  3. Step 3: Cross multiply
    470.85x = 704.90 × 287.69
  4. Step 4: Simplify right side
    470.85x = 202,791.74
  5. Step 5: Solve for x
    x = 202,791.74/470.85
  6. Step 6: Final answer
    x = 430.69

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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.