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Finding the Fourth Proportional to 638.09, 951.59 and 556.28

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Solution

The fourth proportional to 638.09, 951.59 and 556.28 is: 829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.09 : 951.59 = 556.28 : x
  2. Step 2: Convert to fraction form
    638.09/951.59 = 556.28/x
  3. Step 3: Cross multiply
    638.09x = 951.59 × 556.28
  4. Step 4: Simplify right side
    638.09x = 529,342.95
  5. Step 5: Solve for x
    x = 529,342.95/638.09
  6. Step 6: Final answer
    x = 829.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.