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Finding the Fourth Proportional to 552.93, 829.43 and 309.27

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Solution

The fourth proportional to 552.93, 829.43 and 309.27 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.93 : 829.43 = 309.27 : x
  2. Step 2: Convert to fraction form
    552.93/829.43 = 309.27/x
  3. Step 3: Cross multiply
    552.93x = 829.43 × 309.27
  4. Step 4: Simplify right side
    552.93x = 256,517.82
  5. Step 5: Solve for x
    x = 256,517.82/552.93
  6. Step 6: Final answer
    x = 463.92

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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.