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Finding the Fourth Proportional to 628.26, 867.36 and 559.05

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Solution

The fourth proportional to 628.26, 867.36 and 559.05 is: 771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.26 : 867.36 = 559.05 : x
  2. Step 2: Convert to fraction form
    628.26/867.36 = 559.05/x
  3. Step 3: Cross multiply
    628.26x = 867.36 × 559.05
  4. Step 4: Simplify right side
    628.26x = 484,897.61
  5. Step 5: Solve for x
    x = 484,897.61/628.26
  6. Step 6: Final answer
    x = 771.81

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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.