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Finding the Fourth Proportional to 678.56, 936.25 and 383.78

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Solution

The fourth proportional to 678.56, 936.25 and 383.78 is: 529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 936.25 = 383.78 : x
  2. Step 2: Convert to fraction form
    678.56/936.25 = 383.78/x
  3. Step 3: Cross multiply
    678.56x = 936.25 × 383.78
  4. Step 4: Simplify right side
    678.56x = 359,315.41
  5. Step 5: Solve for x
    x = 359,315.41/678.56
  6. Step 6: Final answer
    x = 529.53

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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.