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Finding the Fourth Proportional to 1,187.23, 1,780 and 456.19

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Solution

The fourth proportional to 1,187.23, 1,780 and 456.19 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.23 : 1,780 = 456.19 : x
  2. Step 2: Convert to fraction form
    1,187.23/1,780 = 456.19/x
  3. Step 3: Cross multiply
    1,187.23x = 1,780 × 456.19
  4. Step 4: Simplify right side
    1,187.23x = 812,018.20
  5. Step 5: Solve for x
    x = 812,018.20/1,187.23
  6. Step 6: Final answer
    x = 683.96

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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.