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Finding the Fourth Proportional to 648.57, 965.04 and 646.41

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Solution

The fourth proportional to 648.57, 965.04 and 646.41 is: 961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.57 : 965.04 = 646.41 : x
  2. Step 2: Convert to fraction form
    648.57/965.04 = 646.41/x
  3. Step 3: Cross multiply
    648.57x = 965.04 × 646.41
  4. Step 4: Simplify right side
    648.57x = 623,811.51
  5. Step 5: Solve for x
    x = 623,811.51/648.57
  6. Step 6: Final answer
    x = 961.83

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.