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Finding the Fourth Proportional to 646.29, 968.90 and 368.33

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Solution

The fourth proportional to 646.29, 968.90 and 368.33 is: 552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 968.90 = 368.33 : x
  2. Step 2: Convert to fraction form
    646.29/968.90 = 368.33/x
  3. Step 3: Cross multiply
    646.29x = 968.90 × 368.33
  4. Step 4: Simplify right side
    646.29x = 356,878.28
  5. Step 5: Solve for x
    x = 356,878.28/646.29
  6. Step 6: Final answer
    x = 552.20

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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.