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Finding the Fourth Proportional to 860.85, 1,288.08 and 514.37

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Solution

The fourth proportional to 860.85, 1,288.08 and 514.37 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.85 : 1,288.08 = 514.37 : x
  2. Step 2: Convert to fraction form
    860.85/1,288.08 = 514.37/x
  3. Step 3: Cross multiply
    860.85x = 1,288.08 × 514.37
  4. Step 4: Simplify right side
    860.85x = 662,543.27
  5. Step 5: Solve for x
    x = 662,543.27/860.85
  6. Step 6: Final answer
    x = 769.64

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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.