Home / 1,285.43-1,928.15-311.53

Finding the Fourth Proportional to 1,285.43, 1,928.15 and 311.53

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Solution

The fourth proportional to 1,285.43, 1,928.15 and 311.53 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.43 : 1,928.15 = 311.53 : x
  2. Step 2: Convert to fraction form
    1,285.43/1,928.15 = 311.53/x
  3. Step 3: Cross multiply
    1,285.43x = 1,928.15 × 311.53
  4. Step 4: Simplify right side
    1,285.43x = 600,677.42
  5. Step 5: Solve for x
    x = 600,677.42/1,285.43
  6. Step 6: Final answer
    x = 467.30

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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.