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Finding the Fourth Proportional to 855.94, 1,282.53 and 562.83

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Solution

The fourth proportional to 855.94, 1,282.53 and 562.83 is: 843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.94 : 1,282.53 = 562.83 : x
  2. Step 2: Convert to fraction form
    855.94/1,282.53 = 562.83/x
  3. Step 3: Cross multiply
    855.94x = 1,282.53 × 562.83
  4. Step 4: Simplify right side
    855.94x = 721,846.36
  5. Step 5: Solve for x
    x = 721,846.36/855.94
  6. Step 6: Final answer
    x = 843.34

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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.