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Finding the Fourth Proportional to 511.23, 709.37 and 490.67

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Solution

The fourth proportional to 511.23, 709.37 and 490.67 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.23 : 709.37 = 490.67 : x
  2. Step 2: Convert to fraction form
    511.23/709.37 = 490.67/x
  3. Step 3: Cross multiply
    511.23x = 709.37 × 490.67
  4. Step 4: Simplify right side
    511.23x = 348,060.58
  5. Step 5: Solve for x
    x = 348,060.58/511.23
  6. Step 6: Final answer
    x = 680.83

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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.