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Finding the Fourth Proportional to 678.45, 936.19 and 383.76

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Solution

The fourth proportional to 678.45, 936.19 and 383.76 is: 529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.45 : 936.19 = 383.76 : x
  2. Step 2: Convert to fraction form
    678.45/936.19 = 383.76/x
  3. Step 3: Cross multiply
    678.45x = 936.19 × 383.76
  4. Step 4: Simplify right side
    678.45x = 359,272.27
  5. Step 5: Solve for x
    x = 359,272.27/678.45
  6. Step 6: Final answer
    x = 529.55

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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.