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Finding the Fourth Proportional to 636.68, 878.50 and 470.60

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Solution

The fourth proportional to 636.68, 878.50 and 470.60 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.68 : 878.50 = 470.60 : x
  2. Step 2: Convert to fraction form
    636.68/878.50 = 470.60/x
  3. Step 3: Cross multiply
    636.68x = 878.50 × 470.60
  4. Step 4: Simplify right side
    636.68x = 413,426.24
  5. Step 5: Solve for x
    x = 413,426.24/636.68
  6. Step 6: Final answer
    x = 649.35

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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.