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Finding the Fourth Proportional to 552.94, 829.95 and 451.42

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Solution

The fourth proportional to 552.94, 829.95 and 451.42 is: 677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.94 : 829.95 = 451.42 : x
  2. Step 2: Convert to fraction form
    552.94/829.95 = 451.42/x
  3. Step 3: Cross multiply
    552.94x = 829.95 × 451.42
  4. Step 4: Simplify right side
    552.94x = 374,649.62
  5. Step 5: Solve for x
    x = 374,649.62/552.94
  6. Step 6: Final answer
    x = 677.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.