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Finding the Fourth Proportional to 663.96, 1,001.75 and 662.15

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Solution

The fourth proportional to 663.96, 1,001.75 and 662.15 is: 999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 1,001.75 = 662.15 : x
  2. Step 2: Convert to fraction form
    663.96/1,001.75 = 662.15/x
  3. Step 3: Cross multiply
    663.96x = 1,001.75 × 662.15
  4. Step 4: Simplify right side
    663.96x = 663,300.44
  5. Step 5: Solve for x
    x = 663,300.44/663.96
  6. Step 6: Final answer
    x = 999.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.