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Finding the Fourth Proportional to 628.83, 868.05 and 518.67

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Solution

The fourth proportional to 628.83, 868.05 and 518.67 is: 715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 868.05 = 518.67 : x
  2. Step 2: Convert to fraction form
    628.83/868.05 = 518.67/x
  3. Step 3: Cross multiply
    628.83x = 868.05 × 518.67
  4. Step 4: Simplify right side
    628.83x = 450,231.49
  5. Step 5: Solve for x
    x = 450,231.49/628.83
  6. Step 6: Final answer
    x = 715.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.