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Finding the Fourth Proportional to 798.98, 1,199.18 and 409.25

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Solution

The fourth proportional to 798.98, 1,199.18 and 409.25 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.98 : 1,199.18 = 409.25 : x
  2. Step 2: Convert to fraction form
    798.98/1,199.18 = 409.25/x
  3. Step 3: Cross multiply
    798.98x = 1,199.18 × 409.25
  4. Step 4: Simplify right side
    798.98x = 490,758.42
  5. Step 5: Solve for x
    x = 490,758.42/798.98
  6. Step 6: Final answer
    x = 614.24

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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.