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Finding the Fourth Proportional to 472.89, 709.07 and 183.99

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Solution

The fourth proportional to 472.89, 709.07 and 183.99 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 709.07 = 183.99 : x
  2. Step 2: Convert to fraction form
    472.89/709.07 = 183.99/x
  3. Step 3: Cross multiply
    472.89x = 709.07 × 183.99
  4. Step 4: Simplify right side
    472.89x = 130,460.87
  5. Step 5: Solve for x
    x = 130,460.87/472.89
  6. Step 6: Final answer
    x = 275.88

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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.