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Finding the Fourth Proportional to 619.74, 855.51 and 412.86

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Solution

The fourth proportional to 619.74, 855.51 and 412.86 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.74 : 855.51 = 412.86 : x
  2. Step 2: Convert to fraction form
    619.74/855.51 = 412.86/x
  3. Step 3: Cross multiply
    619.74x = 855.51 × 412.86
  4. Step 4: Simplify right side
    619.74x = 353,205.86
  5. Step 5: Solve for x
    x = 353,205.86/619.74
  6. Step 6: Final answer
    x = 569.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.