Home / 1,284.83-1,927.23-310.94

Finding the Fourth Proportional to 1,284.83, 1,927.23 and 310.94

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Solution

The fourth proportional to 1,284.83, 1,927.23 and 310.94 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.83 : 1,927.23 = 310.94 : x
  2. Step 2: Convert to fraction form
    1,284.83/1,927.23 = 310.94/x
  3. Step 3: Cross multiply
    1,284.83x = 1,927.23 × 310.94
  4. Step 4: Simplify right side
    1,284.83x = 599,249.32
  5. Step 5: Solve for x
    x = 599,249.32/1,284.83
  6. Step 6: Final answer
    x = 466.40

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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.