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Finding the Fourth Proportional to 945.05, 1,415.75 and 636.03

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Solution

The fourth proportional to 945.05, 1,415.75 and 636.03 is: 952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.05 : 1,415.75 = 636.03 : x
  2. Step 2: Convert to fraction form
    945.05/1,415.75 = 636.03/x
  3. Step 3: Cross multiply
    945.05x = 1,415.75 × 636.03
  4. Step 4: Simplify right side
    945.05x = 900,456.29
  5. Step 5: Solve for x
    x = 900,456.29/945.05
  6. Step 6: Final answer
    x = 952.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.