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Finding the Fourth Proportional to 418.56, 624.12 and 409.20

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Solution

The fourth proportional to 418.56, 624.12 and 409.20 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 624.12 = 409.20 : x
  2. Step 2: Convert to fraction form
    418.56/624.12 = 409.20/x
  3. Step 3: Cross multiply
    418.56x = 624.12 × 409.20
  4. Step 4: Simplify right side
    418.56x = 255,389.90
  5. Step 5: Solve for x
    x = 255,389.90/418.56
  6. Step 6: Final answer
    x = 610.16

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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.