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Finding the Fourth Proportional to 411.34, 611.45 and 399.05

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Solution

The fourth proportional to 411.34, 611.45 and 399.05 is: 593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.34 : 611.45 = 399.05 : x
  2. Step 2: Convert to fraction form
    411.34/611.45 = 399.05/x
  3. Step 3: Cross multiply
    411.34x = 611.45 × 399.05
  4. Step 4: Simplify right side
    411.34x = 243,999.12
  5. Step 5: Solve for x
    x = 243,999.12/411.34
  6. Step 6: Final answer
    x = 593.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.