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Finding the Fourth Proportional to 553.41, 829.84 and 309.87

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Solution

The fourth proportional to 553.41, 829.84 and 309.87 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.41 : 829.84 = 309.87 : x
  2. Step 2: Convert to fraction form
    553.41/829.84 = 309.87/x
  3. Step 3: Cross multiply
    553.41x = 829.84 × 309.87
  4. Step 4: Simplify right side
    553.41x = 257,140.97
  5. Step 5: Solve for x
    x = 257,140.97/553.41
  6. Step 6: Final answer
    x = 464.65

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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.