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Finding the Fourth Proportional to 415.44, 619.20 and 412.02

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Solution

The fourth proportional to 415.44, 619.20 and 412.02 is: 614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 619.20 = 412.02 : x
  2. Step 2: Convert to fraction form
    415.44/619.20 = 412.02/x
  3. Step 3: Cross multiply
    415.44x = 619.20 × 412.02
  4. Step 4: Simplify right side
    415.44x = 255,122.78
  5. Step 5: Solve for x
    x = 255,122.78/415.44
  6. Step 6: Final answer
    x = 614.10

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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.