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Finding the Fourth Proportional to 688.35, 949.93 and 389.61

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Solution

The fourth proportional to 688.35, 949.93 and 389.61 is: 537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.35 : 949.93 = 389.61 : x
  2. Step 2: Convert to fraction form
    688.35/949.93 = 389.61/x
  3. Step 3: Cross multiply
    688.35x = 949.93 × 389.61
  4. Step 4: Simplify right side
    688.35x = 370,100.28
  5. Step 5: Solve for x
    x = 370,100.28/688.35
  6. Step 6: Final answer
    x = 537.66

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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.