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Finding the Fourth Proportional to 1,711.39, 2,567.09 and 412.86

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Solution

The fourth proportional to 1,711.39, 2,567.09 and 412.86 is: 619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.39 : 2,567.09 = 412.86 : x
  2. Step 2: Convert to fraction form
    1,711.39/2,567.09 = 412.86/x
  3. Step 3: Cross multiply
    1,711.39x = 2,567.09 × 412.86
  4. Step 4: Simplify right side
    1,711.39x = 1,059,848.78
  5. Step 5: Solve for x
    x = 1,059,848.78/1,711.39
  6. Step 6: Final answer
    x = 619.29

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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.