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Finding the Fourth Proportional to 786.92, 1,086.08 and 455.55

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Solution

The fourth proportional to 786.92, 1,086.08 and 455.55 is: 628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.92 : 1,086.08 = 455.55 : x
  2. Step 2: Convert to fraction form
    786.92/1,086.08 = 455.55/x
  3. Step 3: Cross multiply
    786.92x = 1,086.08 × 455.55
  4. Step 4: Simplify right side
    786.92x = 494,763.74
  5. Step 5: Solve for x
    x = 494,763.74/786.92
  6. Step 6: Final answer
    x = 628.73

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1.5x scale

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.