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Finding the Fourth Proportional to 940.32, 1,409.80 and 290.68

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Solution

The fourth proportional to 940.32, 1,409.80 and 290.68 is: 435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,409.80 = 290.68 : x
  2. Step 2: Convert to fraction form
    940.32/1,409.80 = 290.68/x
  3. Step 3: Cross multiply
    940.32x = 1,409.80 × 290.68
  4. Step 4: Simplify right side
    940.32x = 409,800.66
  5. Step 5: Solve for x
    x = 409,800.66/940.32
  6. Step 6: Final answer
    x = 435.81

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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.