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Finding the Fourth Proportional to 697.79, 963 and 435.75

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Solution

The fourth proportional to 697.79, 963 and 435.75 is: 601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.79 : 963 = 435.75 : x
  2. Step 2: Convert to fraction form
    697.79/963 = 435.75/x
  3. Step 3: Cross multiply
    697.79x = 963 × 435.75
  4. Step 4: Simplify right side
    697.79x = 419,627.25
  5. Step 5: Solve for x
    x = 419,627.25/697.79
  6. Step 6: Final answer
    x = 601.37

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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.