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Finding the Fourth Proportional to 940.75, 1,409.08 and 452.78

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Solution

The fourth proportional to 940.75, 1,409.08 and 452.78 is: 678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.75 : 1,409.08 = 452.78 : x
  2. Step 2: Convert to fraction form
    940.75/1,409.08 = 452.78/x
  3. Step 3: Cross multiply
    940.75x = 1,409.08 × 452.78
  4. Step 4: Simplify right side
    940.75x = 637,998.26
  5. Step 5: Solve for x
    x = 637,998.26/940.75
  6. Step 6: Final answer
    x = 678.18

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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.