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Finding the Fourth Proportional to 940.32, 1,408.92 and 665.08

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Solution

The fourth proportional to 940.32, 1,408.92 and 665.08 is: 996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,408.92 = 665.08 : x
  2. Step 2: Convert to fraction form
    940.32/1,408.92 = 665.08/x
  3. Step 3: Cross multiply
    940.32x = 1,408.92 × 665.08
  4. Step 4: Simplify right side
    940.32x = 937,044.51
  5. Step 5: Solve for x
    x = 937,044.51/940.32
  6. Step 6: Final answer
    x = 996.52

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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.