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Finding the Fourth Proportional to 1,272.16, 1,907.70 and 450.64

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Solution

The fourth proportional to 1,272.16, 1,907.70 and 450.64 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.16 : 1,907.70 = 450.64 : x
  2. Step 2: Convert to fraction form
    1,272.16/1,907.70 = 450.64/x
  3. Step 3: Cross multiply
    1,272.16x = 1,907.70 × 450.64
  4. Step 4: Simplify right side
    1,272.16x = 859,685.93
  5. Step 5: Solve for x
    x = 859,685.93/1,272.16
  6. Step 6: Final answer
    x = 675.77

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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.