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Finding the Fourth Proportional to 786.05, 1,180.10 and 665.08

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Solution

The fourth proportional to 786.05, 1,180.10 and 665.08 is: 998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.05 : 1,180.10 = 665.08 : x
  2. Step 2: Convert to fraction form
    786.05/1,180.10 = 665.08/x
  3. Step 3: Cross multiply
    786.05x = 1,180.10 × 665.08
  4. Step 4: Simplify right side
    786.05x = 784,854.63
  5. Step 5: Solve for x
    x = 784,854.63/786.05
  6. Step 6: Final answer
    x = 998.49

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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.