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Finding the Fourth Proportional to 775, 1,160.42 and 651.98

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Solution

The fourth proportional to 775, 1,160.42 and 651.98 is: 976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    775 : 1,160.42 = 651.98 : x
  2. Step 2: Convert to fraction form
    775/1,160.42 = 651.98/x
  3. Step 3: Cross multiply
    775x = 1,160.42 × 651.98
  4. Step 4: Simplify right side
    775x = 756,570.63
  5. Step 5: Solve for x
    x = 756,570.63/775
  6. Step 6: Final answer
    x = 976.22

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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.