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Finding the Fourth Proportional to 628.95, 867.63 and 408.09

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Solution

The fourth proportional to 628.95, 867.63 and 408.09 is: 562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.95 : 867.63 = 408.09 : x
  2. Step 2: Convert to fraction form
    628.95/867.63 = 408.09/x
  3. Step 3: Cross multiply
    628.95x = 867.63 × 408.09
  4. Step 4: Simplify right side
    628.95x = 354,071.13
  5. Step 5: Solve for x
    x = 354,071.13/628.95
  6. Step 6: Final answer
    x = 562.96

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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.