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Finding the Fourth Proportional to 829.18, 1,242.33 and 504.82

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Solution

The fourth proportional to 829.18, 1,242.33 and 504.82 is: 756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.18 : 1,242.33 = 504.82 : x
  2. Step 2: Convert to fraction form
    829.18/1,242.33 = 504.82/x
  3. Step 3: Cross multiply
    829.18x = 1,242.33 × 504.82
  4. Step 4: Simplify right side
    829.18x = 627,153.03
  5. Step 5: Solve for x
    x = 627,153.03/829.18
  6. Step 6: Final answer
    x = 756.35

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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.