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Finding the Fourth Proportional to 628.83, 867.34 and 442.17

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Solution

The fourth proportional to 628.83, 867.34 and 442.17 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 867.34 = 442.17 : x
  2. Step 2: Convert to fraction form
    628.83/867.34 = 442.17/x
  3. Step 3: Cross multiply
    628.83x = 867.34 × 442.17
  4. Step 4: Simplify right side
    628.83x = 383,511.73
  5. Step 5: Solve for x
    x = 383,511.73/628.83
  6. Step 6: Final answer
    x = 609.89

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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.