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Finding the Fourth Proportional to 646.30, 968.17 and 299.15

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Solution

The fourth proportional to 646.30, 968.17 and 299.15 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 968.17 = 299.15 : x
  2. Step 2: Convert to fraction form
    646.30/968.17 = 299.15/x
  3. Step 3: Cross multiply
    646.30x = 968.17 × 299.15
  4. Step 4: Simplify right side
    646.30x = 289,628.06
  5. Step 5: Solve for x
    x = 289,628.06/646.30
  6. Step 6: Final answer
    x = 448.13

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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.