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Finding the Fourth Proportional to 859.12, 1,287.79 and 448.72

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Solution

The fourth proportional to 859.12, 1,287.79 and 448.72 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.12 : 1,287.79 = 448.72 : x
  2. Step 2: Convert to fraction form
    859.12/1,287.79 = 448.72/x
  3. Step 3: Cross multiply
    859.12x = 1,287.79 × 448.72
  4. Step 4: Simplify right side
    859.12x = 577,857.13
  5. Step 5: Solve for x
    x = 577,857.13/859.12
  6. Step 6: Final answer
    x = 672.62

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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.