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Finding the Fourth Proportional to 854.75, 1,282.10 and 277.63

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Solution

The fourth proportional to 854.75, 1,282.10 and 277.63 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.75 : 1,282.10 = 277.63 : x
  2. Step 2: Convert to fraction form
    854.75/1,282.10 = 277.63/x
  3. Step 3: Cross multiply
    854.75x = 1,282.10 × 277.63
  4. Step 4: Simplify right side
    854.75x = 355,944.83
  5. Step 5: Solve for x
    x = 355,944.83/854.75
  6. Step 6: Final answer
    x = 416.43

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1.5x scale

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.