Home / 1,464.71-2,196.57-733.78

Finding the Fourth Proportional to 1,464.71, 2,196.57 and 733.78

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Solution

The fourth proportional to 1,464.71, 2,196.57 and 733.78 is: 1,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.71 : 2,196.57 = 733.78 : x
  2. Step 2: Convert to fraction form
    1,464.71/2,196.57 = 733.78/x
  3. Step 3: Cross multiply
    1,464.71x = 2,196.57 × 733.78
  4. Step 4: Simplify right side
    1,464.71x = 1,611,804.63
  5. Step 5: Solve for x
    x = 1,611,804.63/1,464.71
  6. Step 6: Final answer
    x = 1,100.43

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1.5x scale

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.