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Finding the Fourth Proportional to 646.04, 968.67 and 299.49

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Solution

The fourth proportional to 646.04, 968.67 and 299.49 is: 449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.04 : 968.67 = 299.49 : x
  2. Step 2: Convert to fraction form
    646.04/968.67 = 299.49/x
  3. Step 3: Cross multiply
    646.04x = 968.67 × 299.49
  4. Step 4: Simplify right side
    646.04x = 290,106.98
  5. Step 5: Solve for x
    x = 290,106.98/646.04
  6. Step 6: Final answer
    x = 449.06

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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.