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Finding the Fourth Proportional to 829.60, 1,242.24 and 442.96

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Solution

The fourth proportional to 829.60, 1,242.24 and 442.96 is: 663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.60 : 1,242.24 = 442.96 : x
  2. Step 2: Convert to fraction form
    829.60/1,242.24 = 442.96/x
  3. Step 3: Cross multiply
    829.60x = 1,242.24 × 442.96
  4. Step 4: Simplify right side
    829.60x = 550,262.63
  5. Step 5: Solve for x
    x = 550,262.63/829.60
  6. Step 6: Final answer
    x = 663.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.