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Finding the Fourth Proportional to 1,272.32, 1,907.94 and 439.47

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Solution

The fourth proportional to 1,272.32, 1,907.94 and 439.47 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.32 : 1,907.94 = 439.47 : x
  2. Step 2: Convert to fraction form
    1,272.32/1,907.94 = 439.47/x
  3. Step 3: Cross multiply
    1,272.32x = 1,907.94 × 439.47
  4. Step 4: Simplify right side
    1,272.32x = 838,482.39
  5. Step 5: Solve for x
    x = 838,482.39/1,272.32
  6. Step 6: Final answer
    x = 659.02

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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.