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Finding the Fourth Proportional to 786.11, 1,179.45 and 582.39

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Solution

The fourth proportional to 786.11, 1,179.45 and 582.39 is: 873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.11 : 1,179.45 = 582.39 : x
  2. Step 2: Convert to fraction form
    786.11/1,179.45 = 582.39/x
  3. Step 3: Cross multiply
    786.11x = 1,179.45 × 582.39
  4. Step 4: Simplify right side
    786.11x = 686,899.89
  5. Step 5: Solve for x
    x = 686,899.89/786.11
  6. Step 6: Final answer
    x = 873.80

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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.