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Finding the Fourth Proportional to 471.42, 706.08 and 334.05

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Solution

The fourth proportional to 471.42, 706.08 and 334.05 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 706.08 = 334.05 : x
  2. Step 2: Convert to fraction form
    471.42/706.08 = 334.05/x
  3. Step 3: Cross multiply
    471.42x = 706.08 × 334.05
  4. Step 4: Simplify right side
    471.42x = 235,866.02
  5. Step 5: Solve for x
    x = 235,866.02/471.42
  6. Step 6: Final answer
    x = 500.33

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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.