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Finding the Fourth Proportional to 940.89, 1,409.73 and 666.53

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Solution

The fourth proportional to 940.89, 1,409.73 and 666.53 is: 998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.89 : 1,409.73 = 666.53 : x
  2. Step 2: Convert to fraction form
    940.89/1,409.73 = 666.53/x
  3. Step 3: Cross multiply
    940.89x = 1,409.73 × 666.53
  4. Step 4: Simplify right side
    940.89x = 939,620.29
  5. Step 5: Solve for x
    x = 939,620.29/940.89
  6. Step 6: Final answer
    x = 998.65

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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.