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Finding the Fourth Proportional to 618.84, 852.83 and 422.01

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Solution

The fourth proportional to 618.84, 852.83 and 422.01 is: 581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.84 : 852.83 = 422.01 : x
  2. Step 2: Convert to fraction form
    618.84/852.83 = 422.01/x
  3. Step 3: Cross multiply
    618.84x = 852.83 × 422.01
  4. Step 4: Simplify right side
    618.84x = 359,902.79
  5. Step 5: Solve for x
    x = 359,902.79/618.84
  6. Step 6: Final answer
    x = 581.58

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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.