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Finding the Fourth Proportional to 798.60, 1,197.25 and 250.50

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Solution

The fourth proportional to 798.60, 1,197.25 and 250.50 is: 375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.60 : 1,197.25 = 250.50 : x
  2. Step 2: Convert to fraction form
    798.60/1,197.25 = 250.50/x
  3. Step 3: Cross multiply
    798.60x = 1,197.25 × 250.50
  4. Step 4: Simplify right side
    798.60x = 299,911.13
  5. Step 5: Solve for x
    x = 299,911.13/798.60
  6. Step 6: Final answer
    x = 375.55

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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.