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Finding the Fourth Proportional to 860.18, 1,287.73 and 641.77

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Solution

The fourth proportional to 860.18, 1,287.73 and 641.77 is: 960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.18 : 1,287.73 = 641.77 : x
  2. Step 2: Convert to fraction form
    860.18/1,287.73 = 641.77/x
  3. Step 3: Cross multiply
    860.18x = 1,287.73 × 641.77
  4. Step 4: Simplify right side
    860.18x = 826,420.04
  5. Step 5: Solve for x
    x = 826,420.04/860.18
  6. Step 6: Final answer
    x = 960.75

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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.