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Finding the Fourth Proportional to 855.81, 1,181.12 and 482.81

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Solution

The fourth proportional to 855.81, 1,181.12 and 482.81 is: 666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.81 : 1,181.12 = 482.81 : x
  2. Step 2: Convert to fraction form
    855.81/1,181.12 = 482.81/x
  3. Step 3: Cross multiply
    855.81x = 1,181.12 × 482.81
  4. Step 4: Simplify right side
    855.81x = 570,248.23
  5. Step 5: Solve for x
    x = 570,248.23/855.81
  6. Step 6: Final answer
    x = 666.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.