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Finding the Fourth Proportional to 665.09, 918.26 and 465.56

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Solution

The fourth proportional to 665.09, 918.26 and 465.56 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.09 : 918.26 = 465.56 : x
  2. Step 2: Convert to fraction form
    665.09/918.26 = 465.56/x
  3. Step 3: Cross multiply
    665.09x = 918.26 × 465.56
  4. Step 4: Simplify right side
    665.09x = 427,501.70
  5. Step 5: Solve for x
    x = 427,501.70/665.09
  6. Step 6: Final answer
    x = 642.78

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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.