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Finding the Fourth Proportional to 636.56, 879.14 and 512.63

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Solution

The fourth proportional to 636.56, 879.14 and 512.63 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.56 : 879.14 = 512.63 : x
  2. Step 2: Convert to fraction form
    636.56/879.14 = 512.63/x
  3. Step 3: Cross multiply
    636.56x = 879.14 × 512.63
  4. Step 4: Simplify right side
    636.56x = 450,666.58
  5. Step 5: Solve for x
    x = 450,666.58/636.56
  6. Step 6: Final answer
    x = 707.98

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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.