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Finding the Fourth Proportional to 665.48, 919.54 and 511.56

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Solution

The fourth proportional to 665.48, 919.54 and 511.56 is: 706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.48 : 919.54 = 511.56 : x
  2. Step 2: Convert to fraction form
    665.48/919.54 = 511.56/x
  3. Step 3: Cross multiply
    665.48x = 919.54 × 511.56
  4. Step 4: Simplify right side
    665.48x = 470,399.88
  5. Step 5: Solve for x
    x = 470,399.88/665.48
  6. Step 6: Final answer
    x = 706.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.