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Finding the Fourth Proportional to 472.83, 708.59 and 180.03

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Solution

The fourth proportional to 472.83, 708.59 and 180.03 is: 269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.83 : 708.59 = 180.03 : x
  2. Step 2: Convert to fraction form
    472.83/708.59 = 180.03/x
  3. Step 3: Cross multiply
    472.83x = 708.59 × 180.03
  4. Step 4: Simplify right side
    472.83x = 127,566.56
  5. Step 5: Solve for x
    x = 127,566.56/472.83
  6. Step 6: Final answer
    x = 269.79

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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.