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Finding the Fourth Proportional to 411.64, 614.53 and 397.22

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Solution

The fourth proportional to 411.64, 614.53 and 397.22 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 614.53 = 397.22 : x
  2. Step 2: Convert to fraction form
    411.64/614.53 = 397.22/x
  3. Step 3: Cross multiply
    411.64x = 614.53 × 397.22
  4. Step 4: Simplify right side
    411.64x = 244,104.15
  5. Step 5: Solve for x
    x = 244,104.15/411.64
  6. Step 6: Final answer
    x = 593.01

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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.