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Finding the Fourth Proportional to 859.01, 1,288.71 and 676.76

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Solution

The fourth proportional to 859.01, 1,288.71 and 676.76 is: 1,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.01 : 1,288.71 = 676.76 : x
  2. Step 2: Convert to fraction form
    859.01/1,288.71 = 676.76/x
  3. Step 3: Cross multiply
    859.01x = 1,288.71 × 676.76
  4. Step 4: Simplify right side
    859.01x = 872,140.94
  5. Step 5: Solve for x
    x = 872,140.94/859.01
  6. Step 6: Final answer
    x = 1,015.29

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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.