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Finding the Fourth Proportional to 522.07, 720.38 and 289.19

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Solution

The fourth proportional to 522.07, 720.38 and 289.19 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.07 : 720.38 = 289.19 : x
  2. Step 2: Convert to fraction form
    522.07/720.38 = 289.19/x
  3. Step 3: Cross multiply
    522.07x = 720.38 × 289.19
  4. Step 4: Simplify right side
    522.07x = 208,325.25
  5. Step 5: Solve for x
    x = 208,325.25/522.07
  6. Step 6: Final answer
    x = 399.04

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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.