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Finding the Fourth Proportional to 521.92, 720.18 and 289.06

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Solution

The fourth proportional to 521.92, 720.18 and 289.06 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 720.18 = 289.06 : x
  2. Step 2: Convert to fraction form
    521.92/720.18 = 289.06/x
  3. Step 3: Cross multiply
    521.92x = 720.18 × 289.06
  4. Step 4: Simplify right side
    521.92x = 208,175.23
  5. Step 5: Solve for x
    x = 208,175.23/521.92
  6. Step 6: Final answer
    x = 398.86

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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.