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Finding the Fourth Proportional to 993.86, 1,498.74 and 980.18

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Solution

The fourth proportional to 993.86, 1,498.74 and 980.18 is: 1,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.86 : 1,498.74 = 980.18 : x
  2. Step 2: Convert to fraction form
    993.86/1,498.74 = 980.18/x
  3. Step 3: Cross multiply
    993.86x = 1,498.74 × 980.18
  4. Step 4: Simplify right side
    993.86x = 1,469,038.72
  5. Step 5: Solve for x
    x = 1,469,038.72/993.86
  6. Step 6: Final answer
    x = 1,478.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.