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Finding the Fourth Proportional to 1,186.84, 1,778.98 and 456.20

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Solution

The fourth proportional to 1,186.84, 1,778.98 and 456.20 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.84 : 1,778.98 = 456.20 : x
  2. Step 2: Convert to fraction form
    1,186.84/1,778.98 = 456.20/x
  3. Step 3: Cross multiply
    1,186.84x = 1,778.98 × 456.20
  4. Step 4: Simplify right side
    1,186.84x = 811,570.68
  5. Step 5: Solve for x
    x = 811,570.68/1,186.84
  6. Step 6: Final answer
    x = 683.81

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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.