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Finding the Fourth Proportional to 443.04, 607.80 and 418.20

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Solution

The fourth proportional to 443.04, 607.80 and 418.20 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.04 : 607.80 = 418.20 : x
  2. Step 2: Convert to fraction form
    443.04/607.80 = 418.20/x
  3. Step 3: Cross multiply
    443.04x = 607.80 × 418.20
  4. Step 4: Simplify right side
    443.04x = 254,181.96
  5. Step 5: Solve for x
    x = 254,181.96/443.04
  6. Step 6: Final answer
    x = 573.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.