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Finding the Fourth Proportional to 855.17, 1,284.68 and 470.21

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Solution

The fourth proportional to 855.17, 1,284.68 and 470.21 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.17 : 1,284.68 = 470.21 : x
  2. Step 2: Convert to fraction form
    855.17/1,284.68 = 470.21/x
  3. Step 3: Cross multiply
    855.17x = 1,284.68 × 470.21
  4. Step 4: Simplify right side
    855.17x = 604,067.03
  5. Step 5: Solve for x
    x = 604,067.03/855.17
  6. Step 6: Final answer
    x = 706.37

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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.