Home / 1,030.70-1,546.13-300.27

Finding the Fourth Proportional to 1,030.70, 1,546.13 and 300.27

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Solution

The fourth proportional to 1,030.70, 1,546.13 and 300.27 is: 450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.70 : 1,546.13 = 300.27 : x
  2. Step 2: Convert to fraction form
    1,030.70/1,546.13 = 300.27/x
  3. Step 3: Cross multiply
    1,030.70x = 1,546.13 × 300.27
  4. Step 4: Simplify right side
    1,030.70x = 464,261.31
  5. Step 5: Solve for x
    x = 464,261.31/1,030.70
  6. Step 6: Final answer
    x = 450.43

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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.