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Finding the Fourth Proportional to 1,186.11, 1,780.07 and 455.89

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Solution

The fourth proportional to 1,186.11, 1,780.07 and 455.89 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.11 : 1,780.07 = 455.89 : x
  2. Step 2: Convert to fraction form
    1,186.11/1,780.07 = 455.89/x
  3. Step 3: Cross multiply
    1,186.11x = 1,780.07 × 455.89
  4. Step 4: Simplify right side
    1,186.11x = 811,516.11
  5. Step 5: Solve for x
    x = 811,516.11/1,186.11
  6. Step 6: Final answer
    x = 684.18

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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.