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Finding the Fourth Proportional to 993.15, 1,370.67 and 678.74

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Solution

The fourth proportional to 993.15, 1,370.67 and 678.74 is: 936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.15 : 1,370.67 = 678.74 : x
  2. Step 2: Convert to fraction form
    993.15/1,370.67 = 678.74/x
  3. Step 3: Cross multiply
    993.15x = 1,370.67 × 678.74
  4. Step 4: Simplify right side
    993.15x = 930,321.70
  5. Step 5: Solve for x
    x = 930,321.70/993.15
  6. Step 6: Final answer
    x = 936.74

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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.