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Finding the Fourth Proportional to 636.89, 879.20 and 427.00

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Solution

The fourth proportional to 636.89, 879.20 and 427.00 is: 589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.89 : 879.20 = 427.00 : x
  2. Step 2: Convert to fraction form
    636.89/879.20 = 427.00/x
  3. Step 3: Cross multiply
    636.89x = 879.20 × 427.00
  4. Step 4: Simplify right side
    636.89x = 375,417.25
  5. Step 5: Solve for x
    x = 375,417.25/636.89
  6. Step 6: Final answer
    x = 589.46

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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.