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Finding the Fourth Proportional to 482.96, 662.99 and 470.88

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Solution

The fourth proportional to 482.96, 662.99 and 470.88 is: 646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 662.99 = 470.88 : x
  2. Step 2: Convert to fraction form
    482.96/662.99 = 470.88/x
  3. Step 3: Cross multiply
    482.96x = 662.99 × 470.88
  4. Step 4: Simplify right side
    482.96x = 312,188.73
  5. Step 5: Solve for x
    x = 312,188.73/482.96
  6. Step 6: Final answer
    x = 646.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.