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Finding the Fourth Proportional to 476.28, 712.26 and 470.34

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Solution

The fourth proportional to 476.28, 712.26 and 470.34 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 712.26 = 470.34 : x
  2. Step 2: Convert to fraction form
    476.28/712.26 = 470.34/x
  3. Step 3: Cross multiply
    476.28x = 712.26 × 470.34
  4. Step 4: Simplify right side
    476.28x = 335,004.37
  5. Step 5: Solve for x
    x = 335,004.37/476.28
  6. Step 6: Final answer
    x = 703.38

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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.