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Finding the Fourth Proportional to 940.71, 1,409.54 and 665.45

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Solution

The fourth proportional to 940.71, 1,409.54 and 665.45 is: 997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.71 : 1,409.54 = 665.45 : x
  2. Step 2: Convert to fraction form
    940.71/1,409.54 = 665.45/x
  3. Step 3: Cross multiply
    940.71x = 1,409.54 × 665.45
  4. Step 4: Simplify right side
    940.71x = 937,973.30
  5. Step 5: Solve for x
    x = 937,973.30/940.71
  6. Step 6: Final answer
    x = 997.09

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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.