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Finding the Fourth Proportional to 678.75, 936.64 and 384.02

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Solution

The fourth proportional to 678.75, 936.64 and 384.02 is: 529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 936.64 = 384.02 : x
  2. Step 2: Convert to fraction form
    678.75/936.64 = 384.02/x
  3. Step 3: Cross multiply
    678.75x = 936.64 × 384.02
  4. Step 4: Simplify right side
    678.75x = 359,684.09
  5. Step 5: Solve for x
    x = 359,684.09/678.75
  6. Step 6: Final answer
    x = 529.92

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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.