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Finding the Fourth Proportional to 661.50, 911.66 and 536.49

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Solution

The fourth proportional to 661.50, 911.66 and 536.49 is: 739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 911.66 = 536.49 : x
  2. Step 2: Convert to fraction form
    661.50/911.66 = 536.49/x
  3. Step 3: Cross multiply
    661.50x = 911.66 × 536.49
  4. Step 4: Simplify right side
    661.50x = 489,093.79
  5. Step 5: Solve for x
    x = 489,093.79/661.50
  6. Step 6: Final answer
    x = 739.37

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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.