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Finding the Fourth Proportional to 646.92, 890.64 and 548.64

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Solution

The fourth proportional to 646.92, 890.64 and 548.64 is: 755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 890.64 = 548.64 : x
  2. Step 2: Convert to fraction form
    646.92/890.64 = 548.64/x
  3. Step 3: Cross multiply
    646.92x = 890.64 × 548.64
  4. Step 4: Simplify right side
    646.92x = 488,640.73
  5. Step 5: Solve for x
    x = 488,640.73/646.92
  6. Step 6: Final answer
    x = 755.33

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1.5x scale

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.