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Finding the Fourth Proportional to 1,187.03, 1,780.30 and 365.11

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Solution

The fourth proportional to 1,187.03, 1,780.30 and 365.11 is: 547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.03 : 1,780.30 = 365.11 : x
  2. Step 2: Convert to fraction form
    1,187.03/1,780.30 = 365.11/x
  3. Step 3: Cross multiply
    1,187.03x = 1,780.30 × 365.11
  4. Step 4: Simplify right side
    1,187.03x = 650,002.37
  5. Step 5: Solve for x
    x = 650,002.37/1,187.03
  6. Step 6: Final answer
    x = 547.59

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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.