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Finding the Fourth Proportional to 940.48, 1,408.96 and 646.40

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Solution

The fourth proportional to 940.48, 1,408.96 and 646.40 is: 968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.48 : 1,408.96 = 646.40 : x
  2. Step 2: Convert to fraction form
    940.48/1,408.96 = 646.40/x
  3. Step 3: Cross multiply
    940.48x = 1,408.96 × 646.40
  4. Step 4: Simplify right side
    940.48x = 910,751.74
  5. Step 5: Solve for x
    x = 910,751.74/940.48
  6. Step 6: Final answer
    x = 968.39

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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.