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Finding the Fourth Proportional to 1,220.78, 1,684.41 and 723.17

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Solution

The fourth proportional to 1,220.78, 1,684.41 and 723.17 is: 997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.78 : 1,684.41 = 723.17 : x
  2. Step 2: Convert to fraction form
    1,220.78/1,684.41 = 723.17/x
  3. Step 3: Cross multiply
    1,220.78x = 1,684.41 × 723.17
  4. Step 4: Simplify right side
    1,220.78x = 1,218,114.78
  5. Step 5: Solve for x
    x = 1,218,114.78/1,220.78
  6. Step 6: Final answer
    x = 997.82

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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.