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Finding the Fourth Proportional to 678.79, 936.62 and 384.05

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Solution

The fourth proportional to 678.79, 936.62 and 384.05 is: 529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.79 : 936.62 = 384.05 : x
  2. Step 2: Convert to fraction form
    678.79/936.62 = 384.05/x
  3. Step 3: Cross multiply
    678.79x = 936.62 × 384.05
  4. Step 4: Simplify right side
    678.79x = 359,708.91
  5. Step 5: Solve for x
    x = 359,708.91/678.79
  6. Step 6: Final answer
    x = 529.93

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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.