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Finding the Fourth Proportional to 646.17, 968.44 and 386.36

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Solution

The fourth proportional to 646.17, 968.44 and 386.36 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 968.44 = 386.36 : x
  2. Step 2: Convert to fraction form
    646.17/968.44 = 386.36/x
  3. Step 3: Cross multiply
    646.17x = 968.44 × 386.36
  4. Step 4: Simplify right side
    646.17x = 374,166.48
  5. Step 5: Solve for x
    x = 374,166.48/646.17
  6. Step 6: Final answer
    x = 579.05

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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.