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Finding the Fourth Proportional to 409.67, 610.36 and 389.02

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Solution

The fourth proportional to 409.67, 610.36 and 389.02 is: 579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.67 : 610.36 = 389.02 : x
  2. Step 2: Convert to fraction form
    409.67/610.36 = 389.02/x
  3. Step 3: Cross multiply
    409.67x = 610.36 × 389.02
  4. Step 4: Simplify right side
    409.67x = 237,439.20
  5. Step 5: Solve for x
    x = 237,439.20/409.67
  6. Step 6: Final answer
    x = 579.59

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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.