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Finding the Fourth Proportional to 854.30, 1,281.62 and 277.13

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Solution

The fourth proportional to 854.30, 1,281.62 and 277.13 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.30 : 1,281.62 = 277.13 : x
  2. Step 2: Convert to fraction form
    854.30/1,281.62 = 277.13/x
  3. Step 3: Cross multiply
    854.30x = 1,281.62 × 277.13
  4. Step 4: Simplify right side
    854.30x = 355,169.64
  5. Step 5: Solve for x
    x = 355,169.64/854.30
  6. Step 6: Final answer
    x = 415.75

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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.