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Finding the Fourth Proportional to 1,172.86, 1,618.67 and 877.61

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Solution

The fourth proportional to 1,172.86, 1,618.67 and 877.61 is: 1,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.86 : 1,618.67 = 877.61 : x
  2. Step 2: Convert to fraction form
    1,172.86/1,618.67 = 877.61/x
  3. Step 3: Cross multiply
    1,172.86x = 1,618.67 × 877.61
  4. Step 4: Simplify right side
    1,172.86x = 1,420,560.98
  5. Step 5: Solve for x
    x = 1,420,560.98/1,172.86
  6. Step 6: Final answer
    x = 1,211.19

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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.