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Finding the Fourth Proportional to 805.26, 1,197.05 and 780.66

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Solution

The fourth proportional to 805.26, 1,197.05 and 780.66 is: 1,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.26 : 1,197.05 = 780.66 : x
  2. Step 2: Convert to fraction form
    805.26/1,197.05 = 780.66/x
  3. Step 3: Cross multiply
    805.26x = 1,197.05 × 780.66
  4. Step 4: Simplify right side
    805.26x = 934,485.15
  5. Step 5: Solve for x
    x = 934,485.15/805.26
  6. Step 6: Final answer
    x = 1,160.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.