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Finding the Fourth Proportional to 697.68, 963 and 465.48

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Solution

The fourth proportional to 697.68, 963 and 465.48 is: 642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 963 = 465.48 : x
  2. Step 2: Convert to fraction form
    697.68/963 = 465.48/x
  3. Step 3: Cross multiply
    697.68x = 963 × 465.48
  4. Step 4: Simplify right side
    697.68x = 448,257.24
  5. Step 5: Solve for x
    x = 448,257.24/697.68
  6. Step 6: Final answer
    x = 642.50

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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.