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Finding the Fourth Proportional to 1,187.11, 1,780.64 and 321.42

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Solution

The fourth proportional to 1,187.11, 1,780.64 and 321.42 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.11 : 1,780.64 = 321.42 : x
  2. Step 2: Convert to fraction form
    1,187.11/1,780.64 = 321.42/x
  3. Step 3: Cross multiply
    1,187.11x = 1,780.64 × 321.42
  4. Step 4: Simplify right side
    1,187.11x = 572,331.70
  5. Step 5: Solve for x
    x = 572,331.70/1,187.11
  6. Step 6: Final answer
    x = 482.12

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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.