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Finding the Fourth Proportional to 622.51, 933.78 and 257.56

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Solution

The fourth proportional to 622.51, 933.78 and 257.56 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.51 : 933.78 = 257.56 : x
  2. Step 2: Convert to fraction form
    622.51/933.78 = 257.56/x
  3. Step 3: Cross multiply
    622.51x = 933.78 × 257.56
  4. Step 4: Simplify right side
    622.51x = 240,504.38
  5. Step 5: Solve for x
    x = 240,504.38/622.51
  6. Step 6: Final answer
    x = 386.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.