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Finding the Fourth Proportional to 1,220.66, 1,684.14 and 723.42

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Solution

The fourth proportional to 1,220.66, 1,684.14 and 723.42 is: 998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.66 : 1,684.14 = 723.42 : x
  2. Step 2: Convert to fraction form
    1,220.66/1,684.14 = 723.42/x
  3. Step 3: Cross multiply
    1,220.66x = 1,684.14 × 723.42
  4. Step 4: Simplify right side
    1,220.66x = 1,218,340.56
  5. Step 5: Solve for x
    x = 1,218,340.56/1,220.66
  6. Step 6: Final answer
    x = 998.10

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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.