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Finding the Fourth Proportional to 628.83, 943.36 and 258.57

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Solution

The fourth proportional to 628.83, 943.36 and 258.57 is: 387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 943.36 = 258.57 : x
  2. Step 2: Convert to fraction form
    628.83/943.36 = 258.57/x
  3. Step 3: Cross multiply
    628.83x = 943.36 × 258.57
  4. Step 4: Simplify right side
    628.83x = 243,923.95
  5. Step 5: Solve for x
    x = 243,923.95/628.83
  6. Step 6: Final answer
    x = 387.90

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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.