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Finding the Fourth Proportional to 622.02, 857.91 and 400.84

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Solution

The fourth proportional to 622.02, 857.91 and 400.84 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 857.91 = 400.84 : x
  2. Step 2: Convert to fraction form
    622.02/857.91 = 400.84/x
  3. Step 3: Cross multiply
    622.02x = 857.91 × 400.84
  4. Step 4: Simplify right side
    622.02x = 343,884.64
  5. Step 5: Solve for x
    x = 343,884.64/622.02
  6. Step 6: Final answer
    x = 552.85

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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.