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Finding the Fourth Proportional to 522.12, 720.24 and 325.59

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Solution

The fourth proportional to 522.12, 720.24 and 325.59 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 720.24 = 325.59 : x
  2. Step 2: Convert to fraction form
    522.12/720.24 = 325.59/x
  3. Step 3: Cross multiply
    522.12x = 720.24 × 325.59
  4. Step 4: Simplify right side
    522.12x = 234,502.94
  5. Step 5: Solve for x
    x = 234,502.94/522.12
  6. Step 6: Final answer
    x = 449.14

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1.5x scale

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.