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Finding the Fourth Proportional to 622.99, 934.14 and 258.03

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Solution

The fourth proportional to 622.99, 934.14 and 258.03 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 934.14 = 258.03 : x
  2. Step 2: Convert to fraction form
    622.99/934.14 = 258.03/x
  3. Step 3: Cross multiply
    622.99x = 934.14 × 258.03
  4. Step 4: Simplify right side
    622.99x = 241,036.14
  5. Step 5: Solve for x
    x = 241,036.14/622.99
  6. Step 6: Final answer
    x = 386.90

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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.