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Finding the Fourth Proportional to 1,647.29, 2,470.93 and 672.32

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Solution

The fourth proportional to 1,647.29, 2,470.93 and 672.32 is: 1,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.29 : 2,470.93 = 672.32 : x
  2. Step 2: Convert to fraction form
    1,647.29/2,470.93 = 672.32/x
  3. Step 3: Cross multiply
    1,647.29x = 2,470.93 × 672.32
  4. Step 4: Simplify right side
    1,647.29x = 1,661,241.62
  5. Step 5: Solve for x
    x = 1,661,241.62/1,647.29
  6. Step 6: Final answer
    x = 1,008.47

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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.