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Finding the Fourth Proportional to 662.68, 912.65 and 648.34

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Solution

The fourth proportional to 662.68, 912.65 and 648.34 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 912.65 = 648.34 : x
  2. Step 2: Convert to fraction form
    662.68/912.65 = 648.34/x
  3. Step 3: Cross multiply
    662.68x = 912.65 × 648.34
  4. Step 4: Simplify right side
    662.68x = 591,701.98
  5. Step 5: Solve for x
    x = 591,701.98/662.68
  6. Step 6: Final answer
    x = 892.89

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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.