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Finding the Fourth Proportional to 684.91, 945.14 and 386.17

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Solution

The fourth proportional to 684.91, 945.14 and 386.17 is: 532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.91 : 945.14 = 386.17 : x
  2. Step 2: Convert to fraction form
    684.91/945.14 = 386.17/x
  3. Step 3: Cross multiply
    684.91x = 945.14 × 386.17
  4. Step 4: Simplify right side
    684.91x = 364,983.68
  5. Step 5: Solve for x
    x = 364,983.68/684.91
  6. Step 6: Final answer
    x = 532.89

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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.