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Finding the Fourth Proportional to 851.18, 1,276.73 and 364.28

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Solution

The fourth proportional to 851.18, 1,276.73 and 364.28 is: 546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.18 : 1,276.73 = 364.28 : x
  2. Step 2: Convert to fraction form
    851.18/1,276.73 = 364.28/x
  3. Step 3: Cross multiply
    851.18x = 1,276.73 × 364.28
  4. Step 4: Simplify right side
    851.18x = 465,085.38
  5. Step 5: Solve for x
    x = 465,085.38/851.18
  6. Step 6: Final answer
    x = 546.40

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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.