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Finding the Fourth Proportional to 993.58, 1,488.72 and 343.96

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Solution

The fourth proportional to 993.58, 1,488.72 and 343.96 is: 515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.58 : 1,488.72 = 343.96 : x
  2. Step 2: Convert to fraction form
    993.58/1,488.72 = 343.96/x
  3. Step 3: Cross multiply
    993.58x = 1,488.72 × 343.96
  4. Step 4: Simplify right side
    993.58x = 512,060.13
  5. Step 5: Solve for x
    x = 512,060.13/993.58
  6. Step 6: Final answer
    x = 515.37

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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.