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Finding the Fourth Proportional to 511.30, 771.01 and 454.60

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Solution

The fourth proportional to 511.30, 771.01 and 454.60 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 771.01 = 454.60 : x
  2. Step 2: Convert to fraction form
    511.30/771.01 = 454.60/x
  3. Step 3: Cross multiply
    511.30x = 771.01 × 454.60
  4. Step 4: Simplify right side
    511.30x = 350,501.15
  5. Step 5: Solve for x
    x = 350,501.15/511.30
  6. Step 6: Final answer
    x = 685.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.