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Finding the Fourth Proportional to 1,271.88, 1,907.84 and 347.44

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Solution

The fourth proportional to 1,271.88, 1,907.84 and 347.44 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.88 : 1,907.84 = 347.44 : x
  2. Step 2: Convert to fraction form
    1,271.88/1,907.84 = 347.44/x
  3. Step 3: Cross multiply
    1,271.88x = 1,907.84 × 347.44
  4. Step 4: Simplify right side
    1,271.88x = 662,859.93
  5. Step 5: Solve for x
    x = 662,859.93/1,271.88
  6. Step 6: Final answer
    x = 521.17

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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.