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Finding the Fourth Proportional to 940.50, 1,409.20 and 665.23

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Solution

The fourth proportional to 940.50, 1,409.20 and 665.23 is: 996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.50 : 1,409.20 = 665.23 : x
  2. Step 2: Convert to fraction form
    940.50/1,409.20 = 665.23/x
  3. Step 3: Cross multiply
    940.50x = 1,409.20 × 665.23
  4. Step 4: Simplify right side
    940.50x = 937,440.45
  5. Step 5: Solve for x
    x = 937,440.45/940.50
  6. Step 6: Final answer
    x = 996.74

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Double scale
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1.5x scale

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.