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Finding the Fourth Proportional to 622.23, 933.48 and 257.02

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Solution

The fourth proportional to 622.23, 933.48 and 257.02 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.23 : 933.48 = 257.02 : x
  2. Step 2: Convert to fraction form
    622.23/933.48 = 257.02/x
  3. Step 3: Cross multiply
    622.23x = 933.48 × 257.02
  4. Step 4: Simplify right side
    622.23x = 239,923.03
  5. Step 5: Solve for x
    x = 239,923.03/622.23
  6. Step 6: Final answer
    x = 385.59

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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.