Home / 1,770.30-2,442.96-984.48

Finding the Fourth Proportional to 1,770.30, 2,442.96 and 984.48

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Solution

The fourth proportional to 1,770.30, 2,442.96 and 984.48 is: 1,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.30 : 2,442.96 = 984.48 : x
  2. Step 2: Convert to fraction form
    1,770.30/2,442.96 = 984.48/x
  3. Step 3: Cross multiply
    1,770.30x = 2,442.96 × 984.48
  4. Step 4: Simplify right side
    1,770.30x = 2,405,045.26
  5. Step 5: Solve for x
    x = 2,405,045.26/1,770.30
  6. Step 6: Final answer
    x = 1,358.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.