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Finding the Fourth Proportional to 678.15, 1,016.36 and 369.35

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Solution

The fourth proportional to 678.15, 1,016.36 and 369.35 is: 553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.15 : 1,016.36 = 369.35 : x
  2. Step 2: Convert to fraction form
    678.15/1,016.36 = 369.35/x
  3. Step 3: Cross multiply
    678.15x = 1,016.36 × 369.35
  4. Step 4: Simplify right side
    678.15x = 375,392.57
  5. Step 5: Solve for x
    x = 375,392.57/678.15
  6. Step 6: Final answer
    x = 553.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.