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Finding the Fourth Proportional to 471.72, 707.81 and 289.01

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Solution

The fourth proportional to 471.72, 707.81 and 289.01 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.72 : 707.81 = 289.01 : x
  2. Step 2: Convert to fraction form
    471.72/707.81 = 289.01/x
  3. Step 3: Cross multiply
    471.72x = 707.81 × 289.01
  4. Step 4: Simplify right side
    471.72x = 204,564.49
  5. Step 5: Solve for x
    x = 204,564.49/471.72
  6. Step 6: Final answer
    x = 433.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.