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Finding the Fourth Proportional to 2,245.49, 3,368.24 and 784.31

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Solution

The fourth proportional to 2,245.49, 3,368.24 and 784.31 is: 1,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.49 : 3,368.24 = 784.31 : x
  2. Step 2: Convert to fraction form
    2,245.49/3,368.24 = 784.31/x
  3. Step 3: Cross multiply
    2,245.49x = 3,368.24 × 784.31
  4. Step 4: Simplify right side
    2,245.49x = 2,641,729.43
  5. Step 5: Solve for x
    x = 2,641,729.43/2,245.49
  6. Step 6: Final answer
    x = 1,176.46

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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.