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Finding the Fourth Proportional to 940.21, 1,409.81 and 452.79

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Solution

The fourth proportional to 940.21, 1,409.81 and 452.79 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.21 : 1,409.81 = 452.79 : x
  2. Step 2: Convert to fraction form
    940.21/1,409.81 = 452.79/x
  3. Step 3: Cross multiply
    940.21x = 1,409.81 × 452.79
  4. Step 4: Simplify right side
    940.21x = 638,345.61
  5. Step 5: Solve for x
    x = 638,345.61/940.21
  6. Step 6: Final answer
    x = 678.94

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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.