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Finding the Fourth Proportional to 694.59, 957.87 and 425.34

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Solution

The fourth proportional to 694.59, 957.87 and 425.34 is: 586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.59 : 957.87 = 425.34 : x
  2. Step 2: Convert to fraction form
    694.59/957.87 = 425.34/x
  3. Step 3: Cross multiply
    694.59x = 957.87 × 425.34
  4. Step 4: Simplify right side
    694.59x = 407,420.43
  5. Step 5: Solve for x
    x = 407,420.43/694.59
  6. Step 6: Final answer
    x = 586.56

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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.