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Finding the Fourth Proportional to 860.44, 1,288.76 and 587.04

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Solution

The fourth proportional to 860.44, 1,288.76 and 587.04 is: 879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.44 : 1,288.76 = 587.04 : x
  2. Step 2: Convert to fraction form
    860.44/1,288.76 = 587.04/x
  3. Step 3: Cross multiply
    860.44x = 1,288.76 × 587.04
  4. Step 4: Simplify right side
    860.44x = 756,553.67
  5. Step 5: Solve for x
    x = 756,553.67/860.44
  6. Step 6: Final answer
    x = 879.26

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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.