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Finding the Fourth Proportional to 511.60, 701.28 and 499.20

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Solution

The fourth proportional to 511.60, 701.28 and 499.20 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 701.28 = 499.20 : x
  2. Step 2: Convert to fraction form
    511.60/701.28 = 499.20/x
  3. Step 3: Cross multiply
    511.60x = 701.28 × 499.20
  4. Step 4: Simplify right side
    511.60x = 350,078.98
  5. Step 5: Solve for x
    x = 350,078.98/511.60
  6. Step 6: Final answer
    x = 684.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.