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Finding the Fourth Proportional to 522.03, 720.35 and 289.11

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Solution

The fourth proportional to 522.03, 720.35 and 289.11 is: 398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.03 : 720.35 = 289.11 : x
  2. Step 2: Convert to fraction form
    522.03/720.35 = 289.11/x
  3. Step 3: Cross multiply
    522.03x = 720.35 × 289.11
  4. Step 4: Simplify right side
    522.03x = 208,258.94
  5. Step 5: Solve for x
    x = 208,258.94/522.03
  6. Step 6: Final answer
    x = 398.94

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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.