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Finding the Fourth Proportional to 470.65, 704.94 and 287.49

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Solution

The fourth proportional to 470.65, 704.94 and 287.49 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.65 : 704.94 = 287.49 : x
  2. Step 2: Convert to fraction form
    470.65/704.94 = 287.49/x
  3. Step 3: Cross multiply
    470.65x = 704.94 × 287.49
  4. Step 4: Simplify right side
    470.65x = 202,661.64
  5. Step 5: Solve for x
    x = 202,661.64/470.65
  6. Step 6: Final answer
    x = 430.60

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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.