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Finding the Fourth Proportional to 522.03, 720.08 and 325.47

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Solution

The fourth proportional to 522.03, 720.08 and 325.47 is: 448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.03 : 720.08 = 325.47 : x
  2. Step 2: Convert to fraction form
    522.03/720.08 = 325.47/x
  3. Step 3: Cross multiply
    522.03x = 720.08 × 325.47
  4. Step 4: Simplify right side
    522.03x = 234,362.81
  5. Step 5: Solve for x
    x = 234,362.81/522.03
  6. Step 6: Final answer
    x = 448.95

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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.