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Finding the Fourth Proportional to 640.88, 963 and 397.52

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Solution

The fourth proportional to 640.88, 963 and 397.52 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 963 = 397.52 : x
  2. Step 2: Convert to fraction form
    640.88/963 = 397.52/x
  3. Step 3: Cross multiply
    640.88x = 963 × 397.52
  4. Step 4: Simplify right side
    640.88x = 382,811.76
  5. Step 5: Solve for x
    x = 382,811.76/640.88
  6. Step 6: Final answer
    x = 597.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.