Home / 1,094.96-1,635.68-985.10

Finding the Fourth Proportional to 1,094.96, 1,635.68 and 985.10

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Solution

The fourth proportional to 1,094.96, 1,635.68 and 985.10 is: 1,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.96 : 1,635.68 = 985.10 : x
  2. Step 2: Convert to fraction form
    1,094.96/1,635.68 = 985.10/x
  3. Step 3: Cross multiply
    1,094.96x = 1,635.68 × 985.10
  4. Step 4: Simplify right side
    1,094.96x = 1,611,295.26
  5. Step 5: Solve for x
    x = 1,611,295.26/1,094.96
  6. Step 6: Final answer
    x = 1,471.56

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Why These Related Problems?

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