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Finding the Fourth Proportional to 940.48, 1,410.73 and 247.09

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Solution

The fourth proportional to 940.48, 1,410.73 and 247.09 is: 370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.48 : 1,410.73 = 247.09 : x
  2. Step 2: Convert to fraction form
    940.48/1,410.73 = 247.09/x
  3. Step 3: Cross multiply
    940.48x = 1,410.73 × 247.09
  4. Step 4: Simplify right side
    940.48x = 348,581.95
  5. Step 5: Solve for x
    x = 348,581.95/940.48
  6. Step 6: Final answer
    x = 370.64

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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.