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Finding the Fourth Proportional to 851.95, 1,277.20 and 783.61

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Solution

The fourth proportional to 851.95, 1,277.20 and 783.61 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.95 : 1,277.20 = 783.61 : x
  2. Step 2: Convert to fraction form
    851.95/1,277.20 = 783.61/x
  3. Step 3: Cross multiply
    851.95x = 1,277.20 × 783.61
  4. Step 4: Simplify right side
    851.95x = 1,000,824.48
  5. Step 5: Solve for x
    x = 1,000,824.48/851.95
  6. Step 6: Final answer
    x = 1,174.74

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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.