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Finding the Fourth Proportional to 1,372.91, 1,894.25 and 783.23

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Solution

The fourth proportional to 1,372.91, 1,894.25 and 783.23 is: 1,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.91 : 1,894.25 = 783.23 : x
  2. Step 2: Convert to fraction form
    1,372.91/1,894.25 = 783.23/x
  3. Step 3: Cross multiply
    1,372.91x = 1,894.25 × 783.23
  4. Step 4: Simplify right side
    1,372.91x = 1,483,620.04
  5. Step 5: Solve for x
    x = 1,483,620.04/1,372.91
  6. Step 6: Final answer
    x = 1,080.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.