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Finding the Fourth Proportional to 636.87, 879.27 and 415.74

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Solution

The fourth proportional to 636.87, 879.27 and 415.74 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.87 : 879.27 = 415.74 : x
  2. Step 2: Convert to fraction form
    636.87/879.27 = 415.74/x
  3. Step 3: Cross multiply
    636.87x = 879.27 × 415.74
  4. Step 4: Simplify right side
    636.87x = 365,547.71
  5. Step 5: Solve for x
    x = 365,547.71/636.87
  6. Step 6: Final answer
    x = 573.98

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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.