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Finding the Fourth Proportional to 646.55, 890.67 and 480.48

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Solution

The fourth proportional to 646.55, 890.67 and 480.48 is: 661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.55 : 890.67 = 480.48 : x
  2. Step 2: Convert to fraction form
    646.55/890.67 = 480.48/x
  3. Step 3: Cross multiply
    646.55x = 890.67 × 480.48
  4. Step 4: Simplify right side
    646.55x = 427,942.27
  5. Step 5: Solve for x
    x = 427,942.27/646.55
  6. Step 6: Final answer
    x = 661.89

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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.