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Finding the Fourth Proportional to 470.06, 653.09 and 464.25

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Solution

The fourth proportional to 470.06, 653.09 and 464.25 is: 645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 653.09 = 464.25 : x
  2. Step 2: Convert to fraction form
    470.06/653.09 = 464.25/x
  3. Step 3: Cross multiply
    470.06x = 653.09 × 464.25
  4. Step 4: Simplify right side
    470.06x = 303,198.19
  5. Step 5: Solve for x
    x = 303,198.19/470.06
  6. Step 6: Final answer
    x = 645.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.