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Finding the Fourth Proportional to 680.77, 939.43 and 386.04

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Solution

The fourth proportional to 680.77, 939.43 and 386.04 is: 532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.77 : 939.43 = 386.04 : x
  2. Step 2: Convert to fraction form
    680.77/939.43 = 386.04/x
  3. Step 3: Cross multiply
    680.77x = 939.43 × 386.04
  4. Step 4: Simplify right side
    680.77x = 362,655.63
  5. Step 5: Solve for x
    x = 362,655.63/680.77
  6. Step 6: Final answer
    x = 532.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.