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Finding the Fourth Proportional to 786.85, 1,086.03 and 455.47

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Solution

The fourth proportional to 786.85, 1,086.03 and 455.47 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.85 : 1,086.03 = 455.47 : x
  2. Step 2: Convert to fraction form
    786.85/1,086.03 = 455.47/x
  3. Step 3: Cross multiply
    786.85x = 1,086.03 × 455.47
  4. Step 4: Simplify right side
    786.85x = 494,654.08
  5. Step 5: Solve for x
    x = 494,654.08/786.85
  6. Step 6: Final answer
    x = 628.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.