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Finding the Fourth Proportional to 829.56, 1,144.18 and 663.50

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Solution

The fourth proportional to 829.56, 1,144.18 and 663.50 is: 915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,144.18 = 663.50 : x
  2. Step 2: Convert to fraction form
    829.56/1,144.18 = 663.50/x
  3. Step 3: Cross multiply
    829.56x = 1,144.18 × 663.50
  4. Step 4: Simplify right side
    829.56x = 759,163.43
  5. Step 5: Solve for x
    x = 759,163.43/829.56
  6. Step 6: Final answer
    x = 915.14

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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.