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Finding the Fourth Proportional to 993.62, 1,377.12 and 975.18

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Solution

The fourth proportional to 993.62, 1,377.12 and 975.18 is: 1,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.62 : 1,377.12 = 975.18 : x
  2. Step 2: Convert to fraction form
    993.62/1,377.12 = 975.18/x
  3. Step 3: Cross multiply
    993.62x = 1,377.12 × 975.18
  4. Step 4: Simplify right side
    993.62x = 1,342,939.88
  5. Step 5: Solve for x
    x = 1,342,939.88/993.62
  6. Step 6: Final answer
    x = 1,351.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.