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Finding the Fourth Proportional to 851.77, 1,276.71 and 505.44

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Solution

The fourth proportional to 851.77, 1,276.71 and 505.44 is: 757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.77 : 1,276.71 = 505.44 : x
  2. Step 2: Convert to fraction form
    851.77/1,276.71 = 505.44/x
  3. Step 3: Cross multiply
    851.77x = 1,276.71 × 505.44
  4. Step 4: Simplify right side
    851.77x = 645,301.25
  5. Step 5: Solve for x
    x = 645,301.25/851.77
  6. Step 6: Final answer
    x = 757.60

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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.