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Finding the Fourth Proportional to 622.99, 934.73 and 257.69

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Solution

The fourth proportional to 622.99, 934.73 and 257.69 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 934.73 = 257.69 : x
  2. Step 2: Convert to fraction form
    622.99/934.73 = 257.69/x
  3. Step 3: Cross multiply
    622.99x = 934.73 × 257.69
  4. Step 4: Simplify right side
    622.99x = 240,870.57
  5. Step 5: Solve for x
    x = 240,870.57/622.99
  6. Step 6: Final answer
    x = 386.64

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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.