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Finding the Fourth Proportional to 409.46, 610.54 and 403.99

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Solution

The fourth proportional to 409.46, 610.54 and 403.99 is: 602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 610.54 = 403.99 : x
  2. Step 2: Convert to fraction form
    409.46/610.54 = 403.99/x
  3. Step 3: Cross multiply
    409.46x = 610.54 × 403.99
  4. Step 4: Simplify right side
    409.46x = 246,649.52
  5. Step 5: Solve for x
    x = 246,649.52/409.46
  6. Step 6: Final answer
    x = 602.38

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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.