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Finding the Fourth Proportional to 1,003.92, 1,499.20 and 993.06

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Solution

The fourth proportional to 1,003.92, 1,499.20 and 993.06 is: 1,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.92 : 1,499.20 = 993.06 : x
  2. Step 2: Convert to fraction form
    1,003.92/1,499.20 = 993.06/x
  3. Step 3: Cross multiply
    1,003.92x = 1,499.20 × 993.06
  4. Step 4: Simplify right side
    1,003.92x = 1,488,795.55
  5. Step 5: Solve for x
    x = 1,488,795.55/1,003.92
  6. Step 6: Final answer
    x = 1,482.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.