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Finding the Fourth Proportional to 646.44, 969.78 and 357.81

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Solution

The fourth proportional to 646.44, 969.78 and 357.81 is: 536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.44 : 969.78 = 357.81 : x
  2. Step 2: Convert to fraction form
    646.44/969.78 = 357.81/x
  3. Step 3: Cross multiply
    646.44x = 969.78 × 357.81
  4. Step 4: Simplify right side
    646.44x = 346,996.98
  5. Step 5: Solve for x
    x = 346,996.98/646.44
  6. Step 6: Final answer
    x = 536.78

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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.