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Finding the Fourth Proportional to 940.38, 1,408.14 and 648.78

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Solution

The fourth proportional to 940.38, 1,408.14 and 648.78 is: 971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.38 : 1,408.14 = 648.78 : x
  2. Step 2: Convert to fraction form
    940.38/1,408.14 = 648.78/x
  3. Step 3: Cross multiply
    940.38x = 1,408.14 × 648.78
  4. Step 4: Simplify right side
    940.38x = 913,573.07
  5. Step 5: Solve for x
    x = 913,573.07/940.38
  6. Step 6: Final answer
    x = 971.49

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Double scale
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1.5x scale

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.