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Finding the Fourth Proportional to 854.50, 1,282.35 and 561.97

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Solution

The fourth proportional to 854.50, 1,282.35 and 561.97 is: 843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.50 : 1,282.35 = 561.97 : x
  2. Step 2: Convert to fraction form
    854.50/1,282.35 = 561.97/x
  3. Step 3: Cross multiply
    854.50x = 1,282.35 × 561.97
  4. Step 4: Simplify right side
    854.50x = 720,642.23
  5. Step 5: Solve for x
    x = 720,642.23/854.50
  6. Step 6: Final answer
    x = 843.35

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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.