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Finding the Fourth Proportional to 993.15, 1,488.78 and 343.71

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Solution

The fourth proportional to 993.15, 1,488.78 and 343.71 is: 515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.15 : 1,488.78 = 343.71 : x
  2. Step 2: Convert to fraction form
    993.15/1,488.78 = 343.71/x
  3. Step 3: Cross multiply
    993.15x = 1,488.78 × 343.71
  4. Step 4: Simplify right side
    993.15x = 511,708.57
  5. Step 5: Solve for x
    x = 511,708.57/993.15
  6. Step 6: Final answer
    x = 515.24

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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.