Home / 1,030.56-1,546.12-300.20

Finding the Fourth Proportional to 1,030.56, 1,546.12 and 300.20

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Solution

The fourth proportional to 1,030.56, 1,546.12 and 300.20 is: 450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.56 : 1,546.12 = 300.20 : x
  2. Step 2: Convert to fraction form
    1,030.56/1,546.12 = 300.20/x
  3. Step 3: Cross multiply
    1,030.56x = 1,546.12 × 300.20
  4. Step 4: Simplify right side
    1,030.56x = 464,145.22
  5. Step 5: Solve for x
    x = 464,145.22/1,030.56
  6. Step 6: Final answer
    x = 450.38

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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.