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Finding the Fourth Proportional to 1,274.20, 1,910.06 and 407.88

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Solution

The fourth proportional to 1,274.20, 1,910.06 and 407.88 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.20 : 1,910.06 = 407.88 : x
  2. Step 2: Convert to fraction form
    1,274.20/1,910.06 = 407.88/x
  3. Step 3: Cross multiply
    1,274.20x = 1,910.06 × 407.88
  4. Step 4: Simplify right side
    1,274.20x = 779,075.27
  5. Step 5: Solve for x
    x = 779,075.27/1,274.20
  6. Step 6: Final answer
    x = 611.42

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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.