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Finding the Fourth Proportional to 552.61, 829.32 and 309.61

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Solution

The fourth proportional to 552.61, 829.32 and 309.61 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.61 : 829.32 = 309.61 : x
  2. Step 2: Convert to fraction form
    552.61/829.32 = 309.61/x
  3. Step 3: Cross multiply
    552.61x = 829.32 × 309.61
  4. Step 4: Simplify right side
    552.61x = 256,765.77
  5. Step 5: Solve for x
    x = 256,765.77/552.61
  6. Step 6: Final answer
    x = 464.64

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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.