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Finding the Fourth Proportional to 552.81, 829.35 and 321.29

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Solution

The fourth proportional to 552.81, 829.35 and 321.29 is: 482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.81 : 829.35 = 321.29 : x
  2. Step 2: Convert to fraction form
    552.81/829.35 = 321.29/x
  3. Step 3: Cross multiply
    552.81x = 829.35 × 321.29
  4. Step 4: Simplify right side
    552.81x = 266,461.86
  5. Step 5: Solve for x
    x = 266,461.86/552.81
  6. Step 6: Final answer
    x = 482.01

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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.