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Finding the Fourth Proportional to 640.64, 961.28 and 471.04

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Solution

The fourth proportional to 640.64, 961.28 and 471.04 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.64 : 961.28 = 471.04 : x
  2. Step 2: Convert to fraction form
    640.64/961.28 = 471.04/x
  3. Step 3: Cross multiply
    640.64x = 961.28 × 471.04
  4. Step 4: Simplify right side
    640.64x = 452,801.33
  5. Step 5: Solve for x
    x = 452,801.33/640.64
  6. Step 6: Final answer
    x = 706.80

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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.