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Finding the Fourth Proportional to 471.39, 706.06 and 335.05

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Solution

The fourth proportional to 471.39, 706.06 and 335.05 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.39 : 706.06 = 335.05 : x
  2. Step 2: Convert to fraction form
    471.39/706.06 = 335.05/x
  3. Step 3: Cross multiply
    471.39x = 706.06 × 335.05
  4. Step 4: Simplify right side
    471.39x = 236,560.20
  5. Step 5: Solve for x
    x = 236,560.20/471.39
  6. Step 6: Final answer
    x = 501.84

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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.