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Finding the Fourth Proportional to 646.21, 968.75 and 337.76

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Solution

The fourth proportional to 646.21, 968.75 and 337.76 is: 506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.21 : 968.75 = 337.76 : x
  2. Step 2: Convert to fraction form
    646.21/968.75 = 337.76/x
  3. Step 3: Cross multiply
    646.21x = 968.75 × 337.76
  4. Step 4: Simplify right side
    646.21x = 327,203.37
  5. Step 5: Solve for x
    x = 327,203.37/646.21
  6. Step 6: Final answer
    x = 506.34

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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.