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Finding the Fourth Proportional to 799.80, 1,200.50 and 538.98

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Solution

The fourth proportional to 799.80, 1,200.50 and 538.98 is: 809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.80 : 1,200.50 = 538.98 : x
  2. Step 2: Convert to fraction form
    799.80/1,200.50 = 538.98/x
  3. Step 3: Cross multiply
    799.80x = 1,200.50 × 538.98
  4. Step 4: Simplify right side
    799.80x = 647,045.49
  5. Step 5: Solve for x
    x = 647,045.49/799.80
  6. Step 6: Final answer
    x = 809.01

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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.