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Finding the Fourth Proportional to 409.60, 610.16 and 407.62

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Solution

The fourth proportional to 409.60, 610.16 and 407.62 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 610.16 = 407.62 : x
  2. Step 2: Convert to fraction form
    409.60/610.16 = 407.62/x
  3. Step 3: Cross multiply
    409.60x = 610.16 × 407.62
  4. Step 4: Simplify right side
    409.60x = 248,713.42
  5. Step 5: Solve for x
    x = 248,713.42/409.60
  6. Step 6: Final answer
    x = 607.21

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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.