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Finding the Fourth Proportional to 1,186.25, 1,778.40 and 456.32

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Solution

The fourth proportional to 1,186.25, 1,778.40 and 456.32 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.25 : 1,778.40 = 456.32 : x
  2. Step 2: Convert to fraction form
    1,186.25/1,778.40 = 456.32/x
  3. Step 3: Cross multiply
    1,186.25x = 1,778.40 × 456.32
  4. Step 4: Simplify right side
    1,186.25x = 811,523.93
  5. Step 5: Solve for x
    x = 811,523.93/1,186.25
  6. Step 6: Final answer
    x = 684.11

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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.