Home / 1,314.80-1,972.20-950.30

Finding the Fourth Proportional to 1,314.80, 1,972.20 and 950.30

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Solution

The fourth proportional to 1,314.80, 1,972.20 and 950.30 is: 1,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.80 : 1,972.20 = 950.30 : x
  2. Step 2: Convert to fraction form
    1,314.80/1,972.20 = 950.30/x
  3. Step 3: Cross multiply
    1,314.80x = 1,972.20 × 950.30
  4. Step 4: Simplify right side
    1,314.80x = 1,874,181.66
  5. Step 5: Solve for x
    x = 1,874,181.66/1,314.80
  6. Step 6: Final answer
    x = 1,425.45

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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.