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Finding the Fourth Proportional to 646.40, 968.53 and 337.79

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Solution

The fourth proportional to 646.40, 968.53 and 337.79 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 968.53 = 337.79 : x
  2. Step 2: Convert to fraction form
    646.40/968.53 = 337.79/x
  3. Step 3: Cross multiply
    646.40x = 968.53 × 337.79
  4. Step 4: Simplify right side
    646.40x = 327,157.46
  5. Step 5: Solve for x
    x = 327,157.46/646.40
  6. Step 6: Final answer
    x = 506.12

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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.