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Finding the Fourth Proportional to 1,218.31, 1,680.85 and 713.92

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Solution

The fourth proportional to 1,218.31, 1,680.85 and 713.92 is: 984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.31 : 1,680.85 = 713.92 : x
  2. Step 2: Convert to fraction form
    1,218.31/1,680.85 = 713.92/x
  3. Step 3: Cross multiply
    1,218.31x = 1,680.85 × 713.92
  4. Step 4: Simplify right side
    1,218.31x = 1,199,992.43
  5. Step 5: Solve for x
    x = 1,199,992.43/1,218.31
  6. Step 6: Final answer
    x = 984.96

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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.