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Finding the Fourth Proportional to 522.04, 720.44 and 289.21

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Solution

The fourth proportional to 522.04, 720.44 and 289.21 is: 399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.04 : 720.44 = 289.21 : x
  2. Step 2: Convert to fraction form
    522.04/720.44 = 289.21/x
  3. Step 3: Cross multiply
    522.04x = 720.44 × 289.21
  4. Step 4: Simplify right side
    522.04x = 208,358.45
  5. Step 5: Solve for x
    x = 208,358.45/522.04
  6. Step 6: Final answer
    x = 399.12

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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.