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Finding the Fourth Proportional to 662.31, 912.96 and 465.48

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Solution

The fourth proportional to 662.31, 912.96 and 465.48 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 912.96 = 465.48 : x
  2. Step 2: Convert to fraction form
    662.31/912.96 = 465.48/x
  3. Step 3: Cross multiply
    662.31x = 912.96 × 465.48
  4. Step 4: Simplify right side
    662.31x = 424,964.62
  5. Step 5: Solve for x
    x = 424,964.62/662.31
  6. Step 6: Final answer
    x = 641.64

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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.