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Finding the Fourth Proportional to 1,172.45, 1,617.93 and 641.32

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Solution

The fourth proportional to 1,172.45, 1,617.93 and 641.32 is: 884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.45 : 1,617.93 = 641.32 : x
  2. Step 2: Convert to fraction form
    1,172.45/1,617.93 = 641.32/x
  3. Step 3: Cross multiply
    1,172.45x = 1,617.93 × 641.32
  4. Step 4: Simplify right side
    1,172.45x = 1,037,610.87
  5. Step 5: Solve for x
    x = 1,037,610.87/1,172.45
  6. Step 6: Final answer
    x = 884.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.