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Finding the Fourth Proportional to 687.78, 948.50 and 451.64

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Solution

The fourth proportional to 687.78, 948.50 and 451.64 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.78 : 948.50 = 451.64 : x
  2. Step 2: Convert to fraction form
    687.78/948.50 = 451.64/x
  3. Step 3: Cross multiply
    687.78x = 948.50 × 451.64
  4. Step 4: Simplify right side
    687.78x = 428,373.54
  5. Step 5: Solve for x
    x = 428,373.54/687.78
  6. Step 6: Final answer
    x = 622.84

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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.