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Finding the Fourth Proportional to 829.20, 1,235.67 and 756.30

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Solution

The fourth proportional to 829.20, 1,235.67 and 756.30 is: 1,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,235.67 = 756.30 : x
  2. Step 2: Convert to fraction form
    829.20/1,235.67 = 756.30/x
  3. Step 3: Cross multiply
    829.20x = 1,235.67 × 756.30
  4. Step 4: Simplify right side
    829.20x = 934,537.22
  5. Step 5: Solve for x
    x = 934,537.22/829.20
  6. Step 6: Final answer
    x = 1,127.03

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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.