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Finding the Fourth Proportional to 628.54, 867.82 and 561.95

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Solution

The fourth proportional to 628.54, 867.82 and 561.95 is: 775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.54 : 867.82 = 561.95 : x
  2. Step 2: Convert to fraction form
    628.54/867.82 = 561.95/x
  3. Step 3: Cross multiply
    628.54x = 867.82 × 561.95
  4. Step 4: Simplify right side
    628.54x = 487,664.30
  5. Step 5: Solve for x
    x = 487,664.30/628.54
  6. Step 6: Final answer
    x = 775.87

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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.