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Finding the Fourth Proportional to 851.05, 1,275.12 and 480.71

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Solution

The fourth proportional to 851.05, 1,275.12 and 480.71 is: 720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.05 : 1,275.12 = 480.71 : x
  2. Step 2: Convert to fraction form
    851.05/1,275.12 = 480.71/x
  3. Step 3: Cross multiply
    851.05x = 1,275.12 × 480.71
  4. Step 4: Simplify right side
    851.05x = 612,968.26
  5. Step 5: Solve for x
    x = 612,968.26/851.05
  6. Step 6: Final answer
    x = 720.25

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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.