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Finding the Fourth Proportional to 693.67, 1,041.42 and 636.36

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Solution

The fourth proportional to 693.67, 1,041.42 and 636.36 is: 955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.67 : 1,041.42 = 636.36 : x
  2. Step 2: Convert to fraction form
    693.67/1,041.42 = 636.36/x
  3. Step 3: Cross multiply
    693.67x = 1,041.42 × 636.36
  4. Step 4: Simplify right side
    693.67x = 662,720.63
  5. Step 5: Solve for x
    x = 662,720.63/693.67
  6. Step 6: Final answer
    x = 955.38

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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.