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Finding the Fourth Proportional to 471.36, 653.23 and 464.75

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Solution

The fourth proportional to 471.36, 653.23 and 464.75 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 653.23 = 464.75 : x
  2. Step 2: Convert to fraction form
    471.36/653.23 = 464.75/x
  3. Step 3: Cross multiply
    471.36x = 653.23 × 464.75
  4. Step 4: Simplify right side
    471.36x = 303,592.08
  5. Step 5: Solve for x
    x = 303,592.08/471.36
  6. Step 6: Final answer
    x = 644.08

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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.