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Finding the Fourth Proportional to 829.20, 1,242.96 and 464.16

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Solution

The fourth proportional to 829.20, 1,242.96 and 464.16 is: 695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,242.96 = 464.16 : x
  2. Step 2: Convert to fraction form
    829.20/1,242.96 = 464.16/x
  3. Step 3: Cross multiply
    829.20x = 1,242.96 × 464.16
  4. Step 4: Simplify right side
    829.20x = 576,932.31
  5. Step 5: Solve for x
    x = 576,932.31/829.20
  6. Step 6: Final answer
    x = 695.77

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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.