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Finding the Fourth Proportional to 783.57, 1,081.43 and 447.56

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Solution

The fourth proportional to 783.57, 1,081.43 and 447.56 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.57 : 1,081.43 = 447.56 : x
  2. Step 2: Convert to fraction form
    783.57/1,081.43 = 447.56/x
  3. Step 3: Cross multiply
    783.57x = 1,081.43 × 447.56
  4. Step 4: Simplify right side
    783.57x = 484,004.81
  5. Step 5: Solve for x
    x = 484,004.81/783.57
  6. Step 6: Final answer
    x = 617.69

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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.