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Finding the Fourth Proportional to 470.75, 709.70 and 440.64

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Solution

The fourth proportional to 470.75, 709.70 and 440.64 is: 664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 709.70 = 440.64 : x
  2. Step 2: Convert to fraction form
    470.75/709.70 = 440.64/x
  3. Step 3: Cross multiply
    470.75x = 709.70 × 440.64
  4. Step 4: Simplify right side
    470.75x = 312,720.00
  5. Step 5: Solve for x
    x = 312,720.00/470.75
  6. Step 6: Final answer
    x = 664.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.