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Finding the Fourth Proportional to 829.88, 1,144.94 and 514.82

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Solution

The fourth proportional to 829.88, 1,144.94 and 514.82 is: 710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.88 : 1,144.94 = 514.82 : x
  2. Step 2: Convert to fraction form
    829.88/1,144.94 = 514.82/x
  3. Step 3: Cross multiply
    829.88x = 1,144.94 × 514.82
  4. Step 4: Simplify right side
    829.88x = 589,438.01
  5. Step 5: Solve for x
    x = 589,438.01/829.88
  6. Step 6: Final answer
    x = 710.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.