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Finding the Fourth Proportional to 940.23, 1,409.64 and 478.23

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Solution

The fourth proportional to 940.23, 1,409.64 and 478.23 is: 716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.23 : 1,409.64 = 478.23 : x
  2. Step 2: Convert to fraction form
    940.23/1,409.64 = 478.23/x
  3. Step 3: Cross multiply
    940.23x = 1,409.64 × 478.23
  4. Step 4: Simplify right side
    940.23x = 674,132.14
  5. Step 5: Solve for x
    x = 674,132.14/940.23
  6. Step 6: Final answer
    x = 716.99

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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.