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Finding the Fourth Proportional to 521.96, 720.12 and 322.64

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Solution

The fourth proportional to 521.96, 720.12 and 322.64 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.96 : 720.12 = 322.64 : x
  2. Step 2: Convert to fraction form
    521.96/720.12 = 322.64/x
  3. Step 3: Cross multiply
    521.96x = 720.12 × 322.64
  4. Step 4: Simplify right side
    521.96x = 232,339.52
  5. Step 5: Solve for x
    x = 232,339.52/521.96
  6. Step 6: Final answer
    x = 445.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.