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Finding the Fourth Proportional to 940.83, 1,409.88 and 667.46

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Solution

The fourth proportional to 940.83, 1,409.88 and 667.46 is: 1,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.83 : 1,409.88 = 667.46 : x
  2. Step 2: Convert to fraction form
    940.83/1,409.88 = 667.46/x
  3. Step 3: Cross multiply
    940.83x = 1,409.88 × 667.46
  4. Step 4: Simplify right side
    940.83x = 941,031.46
  5. Step 5: Solve for x
    x = 941,031.46/940.83
  6. Step 6: Final answer
    x = 1,000.21

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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.