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Finding the Fourth Proportional to 854.85, 1,282.59 and 368.28

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Solution

The fourth proportional to 854.85, 1,282.59 and 368.28 is: 552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.85 : 1,282.59 = 368.28 : x
  2. Step 2: Convert to fraction form
    854.85/1,282.59 = 368.28/x
  3. Step 3: Cross multiply
    854.85x = 1,282.59 × 368.28
  4. Step 4: Simplify right side
    854.85x = 472,352.25
  5. Step 5: Solve for x
    x = 472,352.25/854.85
  6. Step 6: Final answer
    x = 552.56

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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.