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Finding the Fourth Proportional to 860.84, 1,288.17 and 745.68

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Solution

The fourth proportional to 860.84, 1,288.17 and 745.68 is: 1,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.84 : 1,288.17 = 745.68 : x
  2. Step 2: Convert to fraction form
    860.84/1,288.17 = 745.68/x
  3. Step 3: Cross multiply
    860.84x = 1,288.17 × 745.68
  4. Step 4: Simplify right side
    860.84x = 960,562.61
  5. Step 5: Solve for x
    x = 960,562.61/860.84
  6. Step 6: Final answer
    x = 1,115.85

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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.