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Finding the Fourth Proportional to 889.90, 1,228.71 and 628.27

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Solution

The fourth proportional to 889.90, 1,228.71 and 628.27 is: 867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.90 : 1,228.71 = 628.27 : x
  2. Step 2: Convert to fraction form
    889.90/1,228.71 = 628.27/x
  3. Step 3: Cross multiply
    889.90x = 1,228.71 × 628.27
  4. Step 4: Simplify right side
    889.90x = 771,961.63
  5. Step 5: Solve for x
    x = 771,961.63/889.90
  6. Step 6: Final answer
    x = 867.47

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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.