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Finding the Fourth Proportional to 829.88, 1,144.80 and 633.05

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Solution

The fourth proportional to 829.88, 1,144.80 and 633.05 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.88 : 1,144.80 = 633.05 : x
  2. Step 2: Convert to fraction form
    829.88/1,144.80 = 633.05/x
  3. Step 3: Cross multiply
    829.88x = 1,144.80 × 633.05
  4. Step 4: Simplify right side
    829.88x = 724,715.64
  5. Step 5: Solve for x
    x = 724,715.64/829.88
  6. Step 6: Final answer
    x = 873.28

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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.