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Finding the Fourth Proportional to 646.40, 968.64 and 357.44

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Solution

The fourth proportional to 646.40, 968.64 and 357.44 is: 535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 968.64 = 357.44 : x
  2. Step 2: Convert to fraction form
    646.40/968.64 = 357.44/x
  3. Step 3: Cross multiply
    646.40x = 968.64 × 357.44
  4. Step 4: Simplify right side
    646.40x = 346,230.68
  5. Step 5: Solve for x
    x = 346,230.68/646.40
  6. Step 6: Final answer
    x = 535.63

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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.