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Finding the Fourth Proportional to 2,244.58, 3,366.93 and 783.79

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Solution

The fourth proportional to 2,244.58, 3,366.93 and 783.79 is: 1,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.58 : 3,366.93 = 783.79 : x
  2. Step 2: Convert to fraction form
    2,244.58/3,366.93 = 783.79/x
  3. Step 3: Cross multiply
    2,244.58x = 3,366.93 × 783.79
  4. Step 4: Simplify right side
    2,244.58x = 2,638,966.06
  5. Step 5: Solve for x
    x = 2,638,966.06/2,244.58
  6. Step 6: Final answer
    x = 1,175.71

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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.