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Finding the Fourth Proportional to 860.09, 1,288.71 and 448.88

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Solution

The fourth proportional to 860.09, 1,288.71 and 448.88 is: 672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.09 : 1,288.71 = 448.88 : x
  2. Step 2: Convert to fraction form
    860.09/1,288.71 = 448.88/x
  3. Step 3: Cross multiply
    860.09x = 1,288.71 × 448.88
  4. Step 4: Simplify right side
    860.09x = 578,469.70
  5. Step 5: Solve for x
    x = 578,469.70/860.09
  6. Step 6: Final answer
    x = 672.57

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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.