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Finding the Fourth Proportional to 471.50, 708.17 and 399.01

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Solution

The fourth proportional to 471.50, 708.17 and 399.01 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 708.17 = 399.01 : x
  2. Step 2: Convert to fraction form
    471.50/708.17 = 399.01/x
  3. Step 3: Cross multiply
    471.50x = 708.17 × 399.01
  4. Step 4: Simplify right side
    471.50x = 282,566.91
  5. Step 5: Solve for x
    x = 282,566.91/471.50
  6. Step 6: Final answer
    x = 599.29

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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.