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Finding the Fourth Proportional to 499.80, 700.20 and 499.80

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Solution

The fourth proportional to 499.80, 700.20 and 499.80 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 700.20 = 499.80 : x
  2. Step 2: Convert to fraction form
    499.80/700.20 = 499.80/x
  3. Step 3: Cross multiply
    499.80x = 700.20 × 499.80
  4. Step 4: Simplify right side
    499.80x = 349,959.96
  5. Step 5: Solve for x
    x = 349,959.96/499.80
  6. Step 6: Final answer
    x = 700.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.