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Finding the Fourth Proportional to 687.92, 948.49 and 478.27

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Solution

The fourth proportional to 687.92, 948.49 and 478.27 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.92 : 948.49 = 478.27 : x
  2. Step 2: Convert to fraction form
    687.92/948.49 = 478.27/x
  3. Step 3: Cross multiply
    687.92x = 948.49 × 478.27
  4. Step 4: Simplify right side
    687.92x = 453,627.18
  5. Step 5: Solve for x
    x = 453,627.18/687.92
  6. Step 6: Final answer
    x = 659.42

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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.