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Finding the Fourth Proportional to 552.61, 828.64 and 321.55

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Solution

The fourth proportional to 552.61, 828.64 and 321.55 is: 482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.61 : 828.64 = 321.55 : x
  2. Step 2: Convert to fraction form
    552.61/828.64 = 321.55/x
  3. Step 3: Cross multiply
    552.61x = 828.64 × 321.55
  4. Step 4: Simplify right side
    552.61x = 266,448.13
  5. Step 5: Solve for x
    x = 266,448.13/552.61
  6. Step 6: Final answer
    x = 482.17

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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.