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Finding the Fourth Proportional to 622.67, 933.46 and 257.20

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Solution

The fourth proportional to 622.67, 933.46 and 257.20 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.67 : 933.46 = 257.20 : x
  2. Step 2: Convert to fraction form
    622.67/933.46 = 257.20/x
  3. Step 3: Cross multiply
    622.67x = 933.46 × 257.20
  4. Step 4: Simplify right side
    622.67x = 240,085.91
  5. Step 5: Solve for x
    x = 240,085.91/622.67
  6. Step 6: Final answer
    x = 385.57

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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.