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Finding the Fourth Proportional to 628.54, 867.69 and 442.19

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Solution

The fourth proportional to 628.54, 867.69 and 442.19 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.54 : 867.69 = 442.19 : x
  2. Step 2: Convert to fraction form
    628.54/867.69 = 442.19/x
  3. Step 3: Cross multiply
    628.54x = 867.69 × 442.19
  4. Step 4: Simplify right side
    628.54x = 383,683.84
  5. Step 5: Solve for x
    x = 383,683.84/628.54
  6. Step 6: Final answer
    x = 610.44

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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.