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Finding the Fourth Proportional to 484.90, 727.82 and 430.54

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Solution

The fourth proportional to 484.90, 727.82 and 430.54 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.90 : 727.82 = 430.54 : x
  2. Step 2: Convert to fraction form
    484.90/727.82 = 430.54/x
  3. Step 3: Cross multiply
    484.90x = 727.82 × 430.54
  4. Step 4: Simplify right side
    484.90x = 313,355.62
  5. Step 5: Solve for x
    x = 313,355.62/484.90
  6. Step 6: Final answer
    x = 646.23

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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.