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Finding the Fourth Proportional to 1,085.96, 1,627.10 and 776.24

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Solution

The fourth proportional to 1,085.96, 1,627.10 and 776.24 is: 1,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.96 : 1,627.10 = 776.24 : x
  2. Step 2: Convert to fraction form
    1,085.96/1,627.10 = 776.24/x
  3. Step 3: Cross multiply
    1,085.96x = 1,627.10 × 776.24
  4. Step 4: Simplify right side
    1,085.96x = 1,263,013.91
  5. Step 5: Solve for x
    x = 1,263,013.91/1,085.96
  6. Step 6: Final answer
    x = 1,163.04

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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.