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Finding the Fourth Proportional to 1,186.65, 1,780.20 and 446.22

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Solution

The fourth proportional to 1,186.65, 1,780.20 and 446.22 is: 669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.65 : 1,780.20 = 446.22 : x
  2. Step 2: Convert to fraction form
    1,186.65/1,780.20 = 446.22/x
  3. Step 3: Cross multiply
    1,186.65x = 1,780.20 × 446.22
  4. Step 4: Simplify right side
    1,186.65x = 794,360.84
  5. Step 5: Solve for x
    x = 794,360.84/1,186.65
  6. Step 6: Final answer
    x = 669.41

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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.