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Finding the Fourth Proportional to 855.52, 1,282.39 and 416.13

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Solution

The fourth proportional to 855.52, 1,282.39 and 416.13 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.52 : 1,282.39 = 416.13 : x
  2. Step 2: Convert to fraction form
    855.52/1,282.39 = 416.13/x
  3. Step 3: Cross multiply
    855.52x = 1,282.39 × 416.13
  4. Step 4: Simplify right side
    855.52x = 533,640.95
  5. Step 5: Solve for x
    x = 533,640.95/855.52
  6. Step 6: Final answer
    x = 623.76

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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.