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Finding the Fourth Proportional to 855.33, 1,282.53 and 444.05

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Solution

The fourth proportional to 855.33, 1,282.53 and 444.05 is: 665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.33 : 1,282.53 = 444.05 : x
  2. Step 2: Convert to fraction form
    855.33/1,282.53 = 444.05/x
  3. Step 3: Cross multiply
    855.33x = 1,282.53 × 444.05
  4. Step 4: Simplify right side
    855.33x = 569,501.03
  5. Step 5: Solve for x
    x = 569,501.03/855.33
  6. Step 6: Final answer
    x = 665.83

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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.