Home / 1,094.80-1,642.20-985.45

Finding the Fourth Proportional to 1,094.80, 1,642.20 and 985.45

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Solution

The fourth proportional to 1,094.80, 1,642.20 and 985.45 is: 1,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.80 : 1,642.20 = 985.45 : x
  2. Step 2: Convert to fraction form
    1,094.80/1,642.20 = 985.45/x
  3. Step 3: Cross multiply
    1,094.80x = 1,642.20 × 985.45
  4. Step 4: Simplify right side
    1,094.80x = 1,618,305.99
  5. Step 5: Solve for x
    x = 1,618,305.99/1,094.80
  6. Step 6: Final answer
    x = 1,478.18

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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.