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Finding the Fourth Proportional to 855.88, 1,284.54 and 343.24

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Solution

The fourth proportional to 855.88, 1,284.54 and 343.24 is: 515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.88 : 1,284.54 = 343.24 : x
  2. Step 2: Convert to fraction form
    855.88/1,284.54 = 343.24/x
  3. Step 3: Cross multiply
    855.88x = 1,284.54 × 343.24
  4. Step 4: Simplify right side
    855.88x = 440,905.51
  5. Step 5: Solve for x
    x = 440,905.51/855.88
  6. Step 6: Final answer
    x = 515.15

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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.