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Finding the Fourth Proportional to 622.64, 857.09 and 538.58

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Solution

The fourth proportional to 622.64, 857.09 and 538.58 is: 741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.64 : 857.09 = 538.58 : x
  2. Step 2: Convert to fraction form
    622.64/857.09 = 538.58/x
  3. Step 3: Cross multiply
    622.64x = 857.09 × 538.58
  4. Step 4: Simplify right side
    622.64x = 461,611.53
  5. Step 5: Solve for x
    x = 461,611.53/622.64
  6. Step 6: Final answer
    x = 741.38

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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.