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Finding the Fourth Proportional to 860.91, 1,296.24 and 758.85

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Solution

The fourth proportional to 860.91, 1,296.24 and 758.85 is: 1,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.91 : 1,296.24 = 758.85 : x
  2. Step 2: Convert to fraction form
    860.91/1,296.24 = 758.85/x
  3. Step 3: Cross multiply
    860.91x = 1,296.24 × 758.85
  4. Step 4: Simplify right side
    860.91x = 983,651.72
  5. Step 5: Solve for x
    x = 983,651.72/860.91
  6. Step 6: Final answer
    x = 1,142.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.