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Finding the Fourth Proportional to 790.22, 1,187.46 and 425.27

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Solution

The fourth proportional to 790.22, 1,187.46 and 425.27 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.22 : 1,187.46 = 425.27 : x
  2. Step 2: Convert to fraction form
    790.22/1,187.46 = 425.27/x
  3. Step 3: Cross multiply
    790.22x = 1,187.46 × 425.27
  4. Step 4: Simplify right side
    790.22x = 504,994.08
  5. Step 5: Solve for x
    x = 504,994.08/790.22
  6. Step 6: Final answer
    x = 639.05

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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.