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Finding the Fourth Proportional to 798.40, 1,197.42 and 278.72

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Solution

The fourth proportional to 798.40, 1,197.42 and 278.72 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.40 : 1,197.42 = 278.72 : x
  2. Step 2: Convert to fraction form
    798.40/1,197.42 = 278.72/x
  3. Step 3: Cross multiply
    798.40x = 1,197.42 × 278.72
  4. Step 4: Simplify right side
    798.40x = 333,744.90
  5. Step 5: Solve for x
    x = 333,744.90/798.40
  6. Step 6: Final answer
    x = 418.02

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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.