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Finding the Fourth Proportional to 829.58, 1,235.80 and 815.82

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Solution

The fourth proportional to 829.58, 1,235.80 and 815.82 is: 1,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.58 : 1,235.80 = 815.82 : x
  2. Step 2: Convert to fraction form
    829.58/1,235.80 = 815.82/x
  3. Step 3: Cross multiply
    829.58x = 1,235.80 × 815.82
  4. Step 4: Simplify right side
    829.58x = 1,008,190.36
  5. Step 5: Solve for x
    x = 1,008,190.36/829.58
  6. Step 6: Final answer
    x = 1,215.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.