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Finding the Fourth Proportional to 470.70, 708.92 and 427.86

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Solution

The fourth proportional to 470.70, 708.92 and 427.86 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 708.92 = 427.86 : x
  2. Step 2: Convert to fraction form
    470.70/708.92 = 427.86/x
  3. Step 3: Cross multiply
    470.70x = 708.92 × 427.86
  4. Step 4: Simplify right side
    470.70x = 303,316.37
  5. Step 5: Solve for x
    x = 303,316.37/470.70
  6. Step 6: Final answer
    x = 644.39

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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.