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Finding the Fourth Proportional to 940.07, 1,409.94 and 290.63

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Solution

The fourth proportional to 940.07, 1,409.94 and 290.63 is: 435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.07 : 1,409.94 = 290.63 : x
  2. Step 2: Convert to fraction form
    940.07/1,409.94 = 290.63/x
  3. Step 3: Cross multiply
    940.07x = 1,409.94 × 290.63
  4. Step 4: Simplify right side
    940.07x = 409,763.81
  5. Step 5: Solve for x
    x = 409,763.81/940.07
  6. Step 6: Final answer
    x = 435.89

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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.