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Finding the Fourth Proportional to 855.29, 1,282.33 and 410.05

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Solution

The fourth proportional to 855.29, 1,282.33 and 410.05 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.29 : 1,282.33 = 410.05 : x
  2. Step 2: Convert to fraction form
    855.29/1,282.33 = 410.05/x
  3. Step 3: Cross multiply
    855.29x = 1,282.33 × 410.05
  4. Step 4: Simplify right side
    855.29x = 525,810.95
  5. Step 5: Solve for x
    x = 525,810.95/855.29
  6. Step 6: Final answer
    x = 614.78

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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.