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Finding the Fourth Proportional to 473.06, 707.96 and 326.12

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Solution

The fourth proportional to 473.06, 707.96 and 326.12 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 707.96 = 326.12 : x
  2. Step 2: Convert to fraction form
    473.06/707.96 = 326.12/x
  3. Step 3: Cross multiply
    473.06x = 707.96 × 326.12
  4. Step 4: Simplify right side
    473.06x = 230,874.74
  5. Step 5: Solve for x
    x = 230,874.74/473.06
  6. Step 6: Final answer
    x = 488.05

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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.