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Finding the Fourth Proportional to 622.49, 933.85 and 257.08

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Solution

The fourth proportional to 622.49, 933.85 and 257.08 is: 385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.49 : 933.85 = 257.08 : x
  2. Step 2: Convert to fraction form
    622.49/933.85 = 257.08/x
  3. Step 3: Cross multiply
    622.49x = 933.85 × 257.08
  4. Step 4: Simplify right side
    622.49x = 240,077.14
  5. Step 5: Solve for x
    x = 240,077.14/622.49
  6. Step 6: Final answer
    x = 385.67

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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.