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Finding the Fourth Proportional to 412.46, 619.20 and 410.59

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Solution

The fourth proportional to 412.46, 619.20 and 410.59 is: 616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 619.20 = 410.59 : x
  2. Step 2: Convert to fraction form
    412.46/619.20 = 410.59/x
  3. Step 3: Cross multiply
    412.46x = 619.20 × 410.59
  4. Step 4: Simplify right side
    412.46x = 254,237.33
  5. Step 5: Solve for x
    x = 254,237.33/412.46
  6. Step 6: Final answer
    x = 616.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.