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Finding the Fourth Proportional to 694.16, 957.56 and 428.48

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Solution

The fourth proportional to 694.16, 957.56 and 428.48 is: 591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 957.56 = 428.48 : x
  2. Step 2: Convert to fraction form
    694.16/957.56 = 428.48/x
  3. Step 3: Cross multiply
    694.16x = 957.56 × 428.48
  4. Step 4: Simplify right side
    694.16x = 410,295.31
  5. Step 5: Solve for x
    x = 410,295.31/694.16
  6. Step 6: Final answer
    x = 591.07

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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.