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Finding the Fourth Proportional to 640.71, 962.60 and 410.05

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Solution

The fourth proportional to 640.71, 962.60 and 410.05 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.71 : 962.60 = 410.05 : x
  2. Step 2: Convert to fraction form
    640.71/962.60 = 410.05/x
  3. Step 3: Cross multiply
    640.71x = 962.60 × 410.05
  4. Step 4: Simplify right side
    640.71x = 394,707.27
  5. Step 5: Solve for x
    x = 394,707.27/640.71
  6. Step 6: Final answer
    x = 616.05

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Why These Related Problems?

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