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Finding the Fourth Proportional to 851.86, 1,275.54 and 780.58

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Solution

The fourth proportional to 851.86, 1,275.54 and 780.58 is: 1,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.86 : 1,275.54 = 780.58 : x
  2. Step 2: Convert to fraction form
    851.86/1,275.54 = 780.58/x
  3. Step 3: Cross multiply
    851.86x = 1,275.54 × 780.58
  4. Step 4: Simplify right side
    851.86x = 995,661.01
  5. Step 5: Solve for x
    x = 995,661.01/851.86
  6. Step 6: Final answer
    x = 1,168.81

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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.