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Finding the Fourth Proportional to 409.02, 610.16 and 397.86

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Solution

The fourth proportional to 409.02, 610.16 and 397.86 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 610.16 = 397.86 : x
  2. Step 2: Convert to fraction form
    409.02/610.16 = 397.86/x
  3. Step 3: Cross multiply
    409.02x = 610.16 × 397.86
  4. Step 4: Simplify right side
    409.02x = 242,758.26
  5. Step 5: Solve for x
    x = 242,758.26/409.02
  6. Step 6: Final answer
    x = 593.51

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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.