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Finding the Fourth Proportional to 798.56, 1,200.08 and 414.08

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Solution

The fourth proportional to 798.56, 1,200.08 and 414.08 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.56 : 1,200.08 = 414.08 : x
  2. Step 2: Convert to fraction form
    798.56/1,200.08 = 414.08/x
  3. Step 3: Cross multiply
    798.56x = 1,200.08 × 414.08
  4. Step 4: Simplify right side
    798.56x = 496,929.13
  5. Step 5: Solve for x
    x = 496,929.13/798.56
  6. Step 6: Final answer
    x = 622.28

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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.