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Finding the Fourth Proportional to 646.25, 969.49 and 299.35

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Solution

The fourth proportional to 646.25, 969.49 and 299.35 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.25 : 969.49 = 299.35 : x
  2. Step 2: Convert to fraction form
    646.25/969.49 = 299.35/x
  3. Step 3: Cross multiply
    646.25x = 969.49 × 299.35
  4. Step 4: Simplify right side
    646.25x = 290,216.08
  5. Step 5: Solve for x
    x = 290,216.08/646.25
  6. Step 6: Final answer
    x = 449.08

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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.