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Finding the Fourth Proportional to 521.94, 720.20 and 289.07

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Solution

The fourth proportional to 521.94, 720.20 and 289.07 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 720.20 = 289.07 : x
  2. Step 2: Convert to fraction form
    521.94/720.20 = 289.07/x
  3. Step 3: Cross multiply
    521.94x = 720.20 × 289.07
  4. Step 4: Simplify right side
    521.94x = 208,185.34
  5. Step 5: Solve for x
    x = 208,185.34/521.94
  6. Step 6: Final answer
    x = 398.87

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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.