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Finding the Fourth Proportional to 829.42, 1,144.02 and 567.78

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Solution

The fourth proportional to 829.42, 1,144.02 and 567.78 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,144.02 = 567.78 : x
  2. Step 2: Convert to fraction form
    829.42/1,144.02 = 567.78/x
  3. Step 3: Cross multiply
    829.42x = 1,144.02 × 567.78
  4. Step 4: Simplify right side
    829.42x = 649,551.68
  5. Step 5: Solve for x
    x = 649,551.68/829.42
  6. Step 6: Final answer
    x = 783.14

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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.