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Finding the Fourth Proportional to 473.12, 709.70 and 180.59

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Solution

The fourth proportional to 473.12, 709.70 and 180.59 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 709.70 = 180.59 : x
  2. Step 2: Convert to fraction form
    473.12/709.70 = 180.59/x
  3. Step 3: Cross multiply
    473.12x = 709.70 × 180.59
  4. Step 4: Simplify right side
    473.12x = 128,160.27
  5. Step 5: Solve for x
    x = 128,160.27/473.12
  6. Step 6: Final answer
    x = 270.88

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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.