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Finding the Fourth Proportional to 1,186.29, 1,778.40 and 456.39

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Solution

The fourth proportional to 1,186.29, 1,778.40 and 456.39 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.29 : 1,778.40 = 456.39 : x
  2. Step 2: Convert to fraction form
    1,186.29/1,778.40 = 456.39/x
  3. Step 3: Cross multiply
    1,186.29x = 1,778.40 × 456.39
  4. Step 4: Simplify right side
    1,186.29x = 811,643.98
  5. Step 5: Solve for x
    x = 811,643.98/1,186.29
  6. Step 6: Final answer
    x = 684.19

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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.