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Finding the Fourth Proportional to 829.56, 1,144.86 and 498

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Solution

The fourth proportional to 829.56, 1,144.86 and 498 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,144.86 = 498 : x
  2. Step 2: Convert to fraction form
    829.56/1,144.86 = 498/x
  3. Step 3: Cross multiply
    829.56x = 1,144.86 × 498
  4. Step 4: Simplify right side
    829.56x = 570,140.28
  5. Step 5: Solve for x
    x = 570,140.28/829.56
  6. Step 6: Final answer
    x = 687.28

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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.