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Finding the Fourth Proportional to 939.40, 1,407.96 and 665.58

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Solution

The fourth proportional to 939.40, 1,407.96 and 665.58 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.40 : 1,407.96 = 665.58 : x
  2. Step 2: Convert to fraction form
    939.40/1,407.96 = 665.58/x
  3. Step 3: Cross multiply
    939.40x = 1,407.96 × 665.58
  4. Step 4: Simplify right side
    939.40x = 937,110.02
  5. Step 5: Solve for x
    x = 937,110.02/939.40
  6. Step 6: Final answer
    x = 997.56

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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.