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Finding the Fourth Proportional to 998.10, 1,504.62 and 931.20

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Solution

The fourth proportional to 998.10, 1,504.62 and 931.20 is: 1,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.10 : 1,504.62 = 931.20 : x
  2. Step 2: Convert to fraction form
    998.10/1,504.62 = 931.20/x
  3. Step 3: Cross multiply
    998.10x = 1,504.62 × 931.20
  4. Step 4: Simplify right side
    998.10x = 1,401,102.14
  5. Step 5: Solve for x
    x = 1,401,102.14/998.10
  6. Step 6: Final answer
    x = 1,403.77

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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.