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Finding the Fourth Proportional to 522.19, 720.66 and 325.81

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Solution

The fourth proportional to 522.19, 720.66 and 325.81 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.19 : 720.66 = 325.81 : x
  2. Step 2: Convert to fraction form
    522.19/720.66 = 325.81/x
  3. Step 3: Cross multiply
    522.19x = 720.66 × 325.81
  4. Step 4: Simplify right side
    522.19x = 234,798.23
  5. Step 5: Solve for x
    x = 234,798.23/522.19
  6. Step 6: Final answer
    x = 449.64

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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.