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Finding the Fourth Proportional to 1,172.87, 1,618.58 and 641.75

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Solution

The fourth proportional to 1,172.87, 1,618.58 and 641.75 is: 885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.87 : 1,618.58 = 641.75 : x
  2. Step 2: Convert to fraction form
    1,172.87/1,618.58 = 641.75/x
  3. Step 3: Cross multiply
    1,172.87x = 1,618.58 × 641.75
  4. Step 4: Simplify right side
    1,172.87x = 1,038,723.72
  5. Step 5: Solve for x
    x = 1,038,723.72/1,172.87
  6. Step 6: Final answer
    x = 885.63

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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.