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Finding the Fourth Proportional to 1,272.84, 1,909.14 and 406.68

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Solution

The fourth proportional to 1,272.84, 1,909.14 and 406.68 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.84 : 1,909.14 = 406.68 : x
  2. Step 2: Convert to fraction form
    1,272.84/1,909.14 = 406.68/x
  3. Step 3: Cross multiply
    1,272.84x = 1,909.14 × 406.68
  4. Step 4: Simplify right side
    1,272.84x = 776,409.06
  5. Step 5: Solve for x
    x = 776,409.06/1,272.84
  6. Step 6: Final answer
    x = 609.98

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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.