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Finding the Fourth Proportional to 1,271.63, 1,907.37 and 405.88

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Solution

The fourth proportional to 1,271.63, 1,907.37 and 405.88 is: 608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.63 : 1,907.37 = 405.88 : x
  2. Step 2: Convert to fraction form
    1,271.63/1,907.37 = 405.88/x
  3. Step 3: Cross multiply
    1,271.63x = 1,907.37 × 405.88
  4. Step 4: Simplify right side
    1,271.63x = 774,163.34
  5. Step 5: Solve for x
    x = 774,163.34/1,271.63
  6. Step 6: Final answer
    x = 608.80

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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.