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Finding the Fourth Proportional to 775.19, 1,160.96 and 611.78

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Solution

The fourth proportional to 775.19, 1,160.96 and 611.78 is: 916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.19 : 1,160.96 = 611.78 : x
  2. Step 2: Convert to fraction form
    775.19/1,160.96 = 611.78/x
  3. Step 3: Cross multiply
    775.19x = 1,160.96 × 611.78
  4. Step 4: Simplify right side
    775.19x = 710,243.25
  5. Step 5: Solve for x
    x = 710,243.25/775.19
  6. Step 6: Final answer
    x = 916.22

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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.