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Finding the Fourth Proportional to 678.61, 936.48 and 368.11

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Solution

The fourth proportional to 678.61, 936.48 and 368.11 is: 507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.61 : 936.48 = 368.11 : x
  2. Step 2: Convert to fraction form
    678.61/936.48 = 368.11/x
  3. Step 3: Cross multiply
    678.61x = 936.48 × 368.11
  4. Step 4: Simplify right side
    678.61x = 344,725.31
  5. Step 5: Solve for x
    x = 344,725.31/678.61
  6. Step 6: Final answer
    x = 507.99

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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.