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Finding the Fourth Proportional to 698.64, 963.60 and 465.36

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Solution

The fourth proportional to 698.64, 963.60 and 465.36 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.64 : 963.60 = 465.36 : x
  2. Step 2: Convert to fraction form
    698.64/963.60 = 465.36/x
  3. Step 3: Cross multiply
    698.64x = 963.60 × 465.36
  4. Step 4: Simplify right side
    698.64x = 448,420.90
  5. Step 5: Solve for x
    x = 448,420.90/698.64
  6. Step 6: Final answer
    x = 641.85

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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.